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Lesson 11-1 Areas of Parallelograms Lesson 11-2 Areas of Triangles, Trapezoids, and Rhombi Lesson 11-3 Areas of Regular Polygons and Circles Lesson 11-4 Areas of Composite Figures Lesson 11-5 Geometric Probability and Areas of Sectors Chapter Menu

Five-Minute Check (over Chapter 10) Main Ideas and Vocabulary Key Concept: Area of a Parallelogram Example 1: Perimeter and Area of a Parallelogram Example 2: Real-World Example Example 3: Perimeter and Area on the Coordinate Plane Lesson 1 Menu

Find perimeters and areas of parallelograms. Determine whether points on a coordinate plane define a parallelogram. height of a parallelogram Lesson 1 MI/Vocab

Lesson 1 KC1

Perimeter and Area of a Parallelogram Find the perimeter and area of Base and Side: Each pair of opposite sides of a parallelogram has the same measure. Each base is 32 inches long, and each side is 24 inches long. Lesson 1 Ex1

Perimeter and Area of a Parallelogram Perimeter: The perimeter of a polygon is the sum of the measures of its sides. So, the perimeter of or 112 inches. Height: Use a 30-60-90 triangle to find the height. Recall that if the measure of the leg opposite the 30 angle is x, then the length of the hypotenuse is 2x, and the length of the leg opposite the 60 angle is . Substitute 24 for the hypotenuse. Divide each side by 2. So, the height of the parallelogram is or inches. Lesson 1 Ex1

Perimeter and Area of a Parallelogram Answer: The perimeter of is 112 inches, and the area is about 665.1 square inches. Lesson 1 Ex1

A. Find the perimeter of A. 48 m B. 45.2 m C. 96 m D. 90.4 m A B C D Lesson 1 CYP1

B. Find the area of A. 18.2 m2 B. 381.9 m2 C. 567 m2 D. 491.0 m2 A B C Lesson 1 CYP1

The Kanes want to sod a portion of their yard The Kanes want to sod a portion of their yard. Find the number of square yards of grass needed to sod the shaded region in the diagram. To find the number of square yards of grass needed, find the number of square yards of the entire lawn and subtract the number of square yards where grass will not be needed. Grass will not be needed for the vegetable garden, the garage, or the house and walkways. Lesson 1 Ex2

Vegetable Garden: b = 50 ft, h = 40 ft Entire lawn: b = 200 ft, h = 150 ft Vegetable Garden: b = 50 ft, h = 40 ft Garage: b = 50 ft, h = 60 ft House and Walkways: b = 100 ft, h = 60 ft Area Vegetable Garden House and Walkways Entire Lawn Garage A = bh = 200 ● 150 = 30,000 ft2 A = bh = 50 ● 40 = 2000 ft2 A = bh = 50 ● 60 = 3000 ft2 A = bh = 100 ● 60 = 6000 ft2 Lesson 1 Ex2

Answer: They will need about 2111 square yards of sod. The total area is 30,000 – 2000 – 3000 – 6000 or 19,000 square feet. There are 9 square feet in one square yard, so divide by 9 to convert from square feet to square yards. Answer: They will need about 2111 square yards of sod. Lesson 1 Ex2

The Wagners are planning to put hardwood floors in their dining room, living room, and kitchen. Find the number of square yards of wood needed. To the nearest whole number. A B C D A. 106 yd2 B. 317 yd2 C. 133 yd2 D. 122 yd2 Lesson 1 CYP2

Perimeter and Area on the Coordinate Plane A. The vertices of a quadrilateral are A(–2, 3), B(4, 1), C(3, –2), and D(–3, 0). Determine whether the quadrilateral is a square, a rectangle, or a parallelogram. First graph each point and draw the quadrilateral. Then determine the slope of each side. Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane Opposite sides have the same slope, so they are parallel. ABCD is a parallelogram. The slopes of the consecutive sides are negative reciprocals of each other, so the sides are perpendicular. Thus, the parallelogram is a rectangle. In order for the rectangle to be a square, all sides must be equal. Use the Distance Formula to find the side lengths. Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane Since , rectangle ABCD is not a square. Answer: rectangle Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane B. Find the perimeter of quadrilateral ABCD. For the previous question, we found that the figure is a rectangle by proving the opposite sides to be parallel and the consecutive sides to be perpendicular. To show that the figure was not a square, we found that the lengths of consecutive sides were not congruent. We found that Since opposite sides are congruent, the lengths of Add to find the perimeter. Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane Perimeter of Definition of perimeter Substitution Simplify radicals. Add like terms. Answer: Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane C. The vertices of a quadrilateral are A(–2, 3), B(4, 1), C(3, –2), and D(–3, 0). Find the area of quadrilateral ABCD. Base: The base is AB, which we found to be . Height: The height is BC, which we found to be . Lesson 1 Ex3

Perimeter and Area on the Coordinate Plane Area formula Multiply. Simplify. Answer: 20 square units Lesson 1 Ex3

A. The vertices of a quadrilateral are A(–1, 1), B(1, 4), C(5, 4), and D(3, 1). Determine whether the quadrilateral is a square, a rectangle, or a parallelogram. A. square B. rectangle C. parallelogram A B C Lesson 1 CYP3

B. The vertices of a quadrilateral are A(–1, 1), B(1, 4), C(5, 4), and D(3, 1). Find the perimeter of quadrilateral ABCD. A. 14 units B. 15.21 units C. 7.61 units D. 12 units A B C D Lesson 1 CYP3

C. The vertices of a quadrilateral are A(–1, 1), B(1, 4), C(5, 4), and D(3, 1). Find the area of quadrilateral ABCD. A. 7 units2 B. 14 units2 C. 14.42 units2 D. 12 units2 A B C D Lesson 1 CYP3

End of Lesson 1

Five-Minute Check (over Lesson 11-1) Main Ideas Key Concept: Area of a Triangle Example 1: Areas of Triangles Key Concept: Area of a Trapezoid Example 2: Area of a Trapezoid on a Coordinate Plane Key Concept: Area of a Rhombus Example 3: Area of a Rhombus on the Coordinate Plane Example 4: Find Missing Measures Postulate 11.1 Example 5: Area of Congruent Figures Lesson 2 Menu

Find areas of triangles. Find areas of trapezoids and rhombi. Lesson 2 MI/Vocab

Lesson 2 KC1

Find the area of quadrilateral ABCD if AC = 35, BF = 18, and DE = 10. Areas of Triangles Find the area of quadrilateral ABCD if AC = 35, BF = 18, and DE = 10. The area of the quadrilateral is equal to the sum of the areas of Δ Δ ΔADC Area formula Substitution Simplify. Answer: The area of ABCD is 490 square units. Lesson 2 Ex1

Find the area of quadrilateral HIJK if IK = 16, HL = 5, and JM = 9. A. 46 units2 B. 112 units2 C. 720 units2 D. 224 units2 A B C D Lesson 2 CYP1

Lesson 2 KC2

Area of a Trapezoid on a Coordinate Plane Find the area of trapezoid RSTU with vertices R(4, 2), S(6, –1), T(–2, –1), and U(–1, 2). Bases: Since and are horizontal, find their length by subtracting the x-coordinates of their endpoints. Lesson 2 Ex2

Area of a Trapezoid on a Coordinate Plane Height: Because the bases are horizontal segments, the distance between them can be measured on a vertical line. That is, subtract the y-coordinates. Area: Area of a trapezoid Simplify. Answer: The area of trapezoid RSTU is 19.5 square units. Lesson 2 Ex2

Find the area of trapezoid WXYZ with vertices W(–3, 0), X(1, 0), Y(2, –3), and Z(–5, –3). A. 33 units2 B. 44 units2 C. 18 units2 D. 16.5 units2 A B C D Lesson 2 CYP2

Lesson 2 KC3

Area of a Rhombus on the Coordinate Plane Find the area of rhombus MNPR with vertices at M(0, 1), N(4, 2), P(3, –2), and R(–1, –3). Explore To find the area of the rhombus, we need to know the lengths of each diagonal. Plan Use coordinate geometry to find the length of each diagonal. Use the formula to find the area of rhombus MNPR. Lesson 2 Ex3

Area of a Rhombus on the Coordinate Plane Solve Use the Distance Formula to find . d1 Use the Distance Formula to find . d2 Lesson 2 Ex3

Area of a Rhombus on the Coordinate Plane Check The area of rhombus MNPR is 15 square units. Answer: 15 square units Lesson 2 Ex3

Find the area of rhombus ABCD with vertices A(–3, 3), B(2, 2), C(3, –3), and D(–2, –2). A. 12 units2 B. 33.9 units2 C. 24 units2 D. 48 units2 A B C D Lesson 2 CYP3

Use the formula for the area of a rhombus and solve for d2. Find Missing Measures Rhombus RSTU has an area of 64 square inches. Find US if RT = 8 inches. Use the formula for the area of a rhombus and solve for d2. Answer: 16 inches Lesson 2 Ex4

Trapezoid QRST has an area of 210 square yards. Find the height of QRST. A. 3 yd B. 6 yd C. 2.1 yd D. 7 yd A B C D Lesson 2 CYP4

Lesson 2 PS1

Area of Congruent Figures STAINED GLASS This stained glass window is composed of 8 congruent trapezoidal shapes. The total area of the design is 72 square feet. Each trapezoid has bases of 3 and 6 feet. Find the height of each trapezoid. First, find the area of one trapezoid. From Postulate 11.1, the area of each trapezoid is the same. So, the area of each trapezoid is or 9 square feet. Next, use the area formula to find the height of each trapezoid. Lesson 2 Ex5

Area of Congruent Figures Area of a trapezoid Substitution Add. Multiply. Divide each side by 4.5. Answer: Each trapezoid has a height of 2 feet. Lesson 2 Ex5

INTERIOR DESIGN This window hanging is composed of 12 congruent trapezoidal shapes. The total area of the design is 216 square inches. Each trapezoid has bases of 4 and 8 inches. Find the height of each trapezoid. A. 3 in. B. 6 in. C. 2 in. D. 9 in. A B C D Lesson 2 CYP5

End of Lesson 2

Five-Minute Check (over Lesson 11-2) Main Ideas and Vocabulary Key Concept: Area of a Regular Polygon Example 1: Area of a Regular Polygon Key Concept: Area of a Circle Example 2: Real-World Example Example 3: Area of an Inscribed Polygon Lesson 3 Menu

Find areas of regular polygons. Find areas of circles. apothem Lesson 3 MI/Vocab

Lesson 3 KC1

Area of a Regular Polygon Find the area of a regular pentagon with a perimeter of 90 meters. Lesson 3 Ex1

Area of a Regular Polygon Apothem: The central angles of a regular pentagon are all congruent. Therefore, the measure of each angle is or 72. is an apothem of pentagon ABCDE. It bisects and is a perpendicular bisector of . So, or 36. Since the perimeter is 90 meters, each side is 18 meters and meters. Lesson 3 Ex1

Area of a Regular Polygon Write a trigonometric ratio to find the length of . Multiply each side by GF. Divide each side by tan . Use a calculator. Lesson 3 Ex1

Area of a Regular Polygon ≈ 557 Simplify. Answer: The area of the pentagon is about 557 square meters. Lesson 3 Ex1

Find the area of a regular pentagon with a perimeter of 120 inches Find the area of a regular pentagon with a perimeter of 120 inches. To the nearest square inch. A. 890 in2 B. 1225 in2 C. 991 in2 D. 1982 in2 A B C D Lesson 3 CYP1

Lesson 3 KC2

An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square yards. The diameter of the umbrella is 72 inches, and the cover must extend 8 inches in each direction. So the diameter of the cover is 8 + 72 + 8 or 88 inches. Divide by 2 to find that the radius is 44 inches. Lesson 3 Ex2

Area of a circle Substitution Use a calculator. The area of the cover is 6082.1 square inches. To convert to square yards, divide by 1296. Answer: The area of the cover is 4.7 square yards to the nearest tenth. Lesson 3 Ex2

A swimming pool company manufactures circular covers for above ground pools. If the cover is 10 inches longer than the pool on each side, find the area of the cover in square yards. A B C D A. 31.0 yd2 B. 33.8 yd2 C. 1215.1 yd2 D. 43743.5 yd2 Lesson 3 CYP2

Area of an Inscribed Polygon Find the area of the shaded region. Assume that the triangle is equilateral. Round to the nearest tenth. The area of the shaded region is the difference between the area of the circle and the area of the triangle. First, find the area of the circle. Area of a circle Substitution Use a calculator. Lesson 3 Ex3

Area of an Inscribed Polygon To find the area of the triangle, use properties of 30-60-90 triangles. First, find the length of the base. The hypotenuse of so RS is 3.5 and SZ . Since . Δ Lesson 3 Ex3

Area of an Inscribed Polygon Next, find the height of the triangle, XS. Since m 3.5 Area of a triangle Use a calculator. Answer: The area of the shaded region is 153.9 – 63.7 or 90.3 square centimeters to the nearest tenth. Lesson 3 Ex3

Find the area of the shaded region Find the area of the shaded region. Assume that the triangle is equilateral. Round to the nearest tenth. A. 32.5 in2 B. 78.5 in2 C. 13.6 in2 D. 46.1 in2 A B C D Lesson 3 CYP3

End of Lesson 3

Five-Minute Check (over Lesson 11-3) Main Ideas and Vocabulary Postulate 11.2 Example 1: Standardized Test Example: Area of a Composite Figure Example 2: Find the Area of a Composite Figure to Solve a Problem Example 3: Coordinate Plane Lesson 4 Menu

Find areas of composite figures. Find areas of composite figures on the coordinate plane. composite figure Lesson 4 MI/Vocab

Animation: Area of a Composite Figure Lesson 4 PS1

Area of a Composite Figure What is the area of the composite figure? Round to the nearest tenth. A 713.1 ft2 B 852.5 ft2 C 953.1 ft2 D 992 ft2 Read the Test Item The figure can be separated into a rectangle with dimensions 16 feet by 32 feet, a triangle with a base of 32 feet and a height of 15 feet, and two semicircles with radii of 8 feet. Lesson 4 Ex1

Area of a Composite Figure Solve the Test Item Area of composite figure Area formulas Substitution Simplify. Use a calculator. Answer: The area of the composite figure is 953.1 square feet to the nearest tenth. The correct answer is C. Lesson 4 Ex1

Find the area of the figure in square feet Find the area of the figure in square feet. Round to the nearest tenth if necessary. A. 478.5 ft2 B. 311.2 ft2 C. 351.2 ft2 D. 438.5 ft2 A B C D Lesson 4 CYP1

Find the Area of a Composite Figure to Solve a Problem A rectangular rose garden is centered in a border of lawn. Find the area of the lawn around the garden in square feet. The length of the entire lawn is 25 + 100 + 25 or 150 feet. The width of the entire lawn is 25 + 20 + 25 or 70 feet. The length of the rose garden is 100 feet and the width is 20 feet. Lesson 4 Ex2

Find the Area of a Composite Figure to Solve a Problem area of composite figure – area of rose garden Area formulas Substitution Simplify. Simplify. Answer: The area of the lawn around the garden is 8500 square feet. Lesson 4 Ex2

INTERIOR DESIGN Cara wants to wallpaper one wall of her family room INTERIOR DESIGN Cara wants to wallpaper one wall of her family room. She has a fireplace in the center of the wall. Find the area of the wall around the fireplace. A. 168 ft2 B. 156 ft2 C. 204 ft2 D. 180 ft2 A B C D Lesson 4 CYP2

Find the area of polygon MNPQR. Coordinate Plane Find the area of polygon MNPQR. First, separate the figure into regions. Draw an auxiliary line perpendicular to from M (we will call this point S), an auxiliary line from N to the x-axis (we will call this point K), and an auxiliary line from P to the Origin, O. This divides the figure into triangle MRS, triangle NKM, trapezoid POKN and trapezoid PQSO. Lesson 4 Ex3

Now, find the area of each of the figures. Coordinate Plane Now, find the area of each of the figures. Find the difference between y-coordinates to find the lengths of the bases of the triangles and the lengths of the bases of the trapezoids. Find the difference between x-coordinates to find the heights of the triangles and trapezoids. Lesson 4 Ex3

Interactive Lab: Stained Glass Design, Polygons, and Area Coordinate Plane Δ Area formulas Substitution Simplify. Answer: The area of polygon MNPQR is 44.5 square units. Interactive Lab: Stained Glass Design, Polygons, and Area Lesson 4 Ex3

Find the area of polygon ABCDE. A. 38 units2 B. 17 units2 C. 15 units2 D. 19 units2 A B C D Lesson 4 CYP3

End of Lesson 4

Five-Minute Check (over Lesson 11-4) Main Ideas and Vocabulary Key Concept: Probability and Area Example 1: Probability with Area Key Concept: Area of a Sector Example 2: Probability with Sectors Example 3: Probability with Segments Lesson 5 Menu

Solve problems involving geometric probability. Solve problems involving sectors and segments of circles. geometric probability sector segment Lesson 5 MI/Vocab

Lesson 5 KC1

Probability with Area A game board consists of a circle inscribed in a square. What is the chance that a dart thrown at the board will land on the board and in the shaded area? You want to find the probability of landing in the shaded area, not the circle. Lesson 5 Ex1

The total area of the board is square inches. Probability with Area We need to divide the area of the shaded region by the total area of the game board. The total area of the board is square inches. The area of the shaded region is the area of the total board minus the area of the circle. The area of the circle is Answer: The probability of throwing a dart onto the shaded area is Lesson 5 Ex1

A square game board consists of shaded and non-shaded regions of equal width as shown. What is the chance that a dart thrown at the board will land in a shaded area? A. 0.845 B. 0.681 C. 0.603 D. 0.595 A B C D Lesson 5 CYP1

Lesson 5 KC2

Probability with Sectors A. Find the total area of the shaded sectors. The shaded sectors have degree measures of 45 and 35 or total. Use the formula to find the total area of the shaded sectors. Area of a sector Simplify. Answer: The area of the shaded sectors is or about 56.5 square inches. Lesson 5 Ex2

Probability with Sectors B. Find the probability that a point chosen at random lies in the shaded region. To find the probability, divide the area of the shaded sectors by the area of the circle. The area of the circle is with a radius of 9. Lesson 5 Ex2

Probability with Sectors Geometric probability formula Simplify. Use a calculator. Answer: The probability that a random point is in the shaded sectors is Lesson 5 Ex2

A. Find the area of the orange sectors. A. 50.3 in2 B. 67.0 in2 C. 16.8 in2 D. 5.3 in2 A B C D Lesson 5 CYP2

B. Find the probability that a point chosen at random lies in the orange region. Lesson 5 CYP2

Probability with Segments A. A regular hexagon is inscribed in a circle with a diameter of 12. Find the area of the shaded regions. Area of a sector: Area of a sector Simplify. Use a calculator. Use the center of the circle and two consecutive vertices of the hexagon to draw a triangle and find the area of one shaded segment. Lesson 5 Ex3

Probability with Segments Since the hexagon was inscribed in the circle, the triangle is equilateral, with each side 6 units long. Use properties of 30-60-90 triangles to find the apothem. The value of x is 3 and the apothem is , which is approximately 5.20. Area of a triangle: Lesson 5 Ex3

Probability with Segments Next, use the formula for the area of a triangle. Area of a triangle Simplify. Area of segment: area of one segment area of sector ─ area of triangle Substitution Simplify. Lesson 5 Ex3

Probability with Segments Since three segments are shaded, we will multiply this by 3. 3(3.25) = 9.78 Answer: The area of the shaded regions is about 9.78 square units. Lesson 5 Ex3

Probability with Segments B. A regular hexagon is inscribed in a circle with a diameter of 12. Find the probability that a point chosen at random lies in the shaded regions. Divide the area of the shaded regions by the area of the circle to find the probability. First, find the area of the circle. The radius is 6, so the area is or about 113.10 square units. Lesson 5 Ex3

Probability with Segments Answer: The probability that a random point is on the shaded region is about 0.087 or 8.7%. Lesson 5 Ex3

A. A regular hexagon is inscribed in a circle with a diameter of 18 A. A regular hexagon is inscribed in a circle with a diameter of 18. Find the area of the shaded regions. A. 133.0 units2 B. 166.4 units2 C. 44.0 units2 D. 93.2 units2 A B C D Lesson 5 CYP3

B. A regular hexagon is inscribed in a circle with a diameter of 18 B. A regular hexagon is inscribed in a circle with a diameter of 18. Find the probability that a point chosen at random lies in the shaded regions. A. 19.2% B. 17.3% C. 23.7% D. 9.6% A B C D Lesson 5 CYP3

End of Lesson 5

Five-Minute Checks Image Bank Math Tools Area of a Composite Figure Stained Glass Design, Polygons, and Area CR Menu

Lesson 11-1 (over Chapter 10) Lesson 11-2 (over Lesson 11-1) 5Min Menu

1. Exit this presentation. To use the images that are on the following three slides in your own presentation: 1. Exit this presentation. 2. Open a chapter presentation using a full installation of Microsoft® PowerPoint® in editing mode and scroll to the Image Bank slides. 3. Select an image, copy it, and paste it into your presentation. IB 1

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Animation 1

Name a radius. A. CD B. CB C. OC D. CA (over Chapter 10) A B C D 5Min 1-1

Name a chord. A. OC B. AD C. OA D. OD (over Chapter 10) A B C D 5Min 1-2

Name a diameter. A. CO B. CA C. CB D. CD (over Chapter 10) A B C D 5Min 1-3

Find if mACB = 80. A. 40 B. 80 C. 160 D. 280 (over Chapter 10) A B C 5Min 1-4

(over Chapter 10) Write an equation of the circle with center at (–3, 2) and a diameter of 6. A. (x – 3)2 + (y + 2)2 = 9 B. (x + 3)2 + (y – 2)2 = 9 C. (x + 3)2 + (y – 2)2 = 81 D. (x – 3)2 + (y + 2)2 = 81 A B C D 5Min 1-5

Which word best describes RS? (over Chapter 10) Which word best describes RS? A. chord B. arc C. diameter D. radius A B C D 5Min 1-6

(over Lesson 11-1) Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary. A. 24 cm, 143 cm2 B. 24 cm, 101.1 cm2 C. 48 cm, 143 cm2 D. 48 cm, 101.1 cm2 A B C D 5Min 2-1

(over Lesson 11-1) Find the perimeter and area of the parallelogram in the figure. Round to the nearest tenth if necessary. A. 29 ft, 102 ft2 B. 58 ft, 204 ft2 C. 58 ft, 102 ft2 D. 29 ft, 204 ft2 A B C D 5Min 2-2

(over Lesson 11-1) Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary. A. 58 in., 171.5 in2 B. 29 in., 198 in2 C. 58 in2, 198 in2 D. 29 in., 171.5 in2 A B C D 5Min 2-3

(over Lesson 11-1) Find the perimeter and area of the parallelogram. Round to the nearest tenth if necessary. A. 25.2 m, 56.1 m2 B. 35.6 m, 79.2 m2 C. 35.6 m, 56.1 m2 D. 25.2 m, 39.7 m2 A B C D 5Min 2-4

(over Lesson 11-1) Find the height and base of the parallelogram if the area is 168 square units. A. 12 units, 14 units B. 14 units, 16 units C. 10 units, 12 units D. 12 units, 16 units A B C D 5Min 2-5

(over Lesson 11-1) Find the area of a parallelogram if the height is 8 centimeters and the base length is 10.2 centimeters. A. 28.4 cm2 B. 29.2 cm2 C. 81.6 cm2 D. 104.04 cm2 A B C D 5Min 2-6

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 396 units2 B. 198 units2 C. 99 units2 D. 20 units2 A B C D 5Min 3-1

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 166.3 units2 B. 144 units2 C. 83.1 units2 D. 48 units2 A B C D 5Min 3-2

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 39 units2 B. 48 units2 C. 78 units2 D. 96 units2 A B C D 5Min 3-3

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-2) Find the area of the figure. Round to the nearest tenth if necessary. A. 468 units2 B. 234 units2 C. 117 units2 D. 59 units2 A B C D 5Min 3-4

Trapezoid LMNO has an area of 55 square units. Find the height. (over Lesson 11-2) Trapezoid LMNO has an area of 55 square units. Find the height. A. 5 units B. 6 units C. 10 units D. 14 units A B C D 5Min 3-5

(over Lesson 11-2) Rhombus ABCD has an area of 144 square inches. Find AC if BD = 16 inches. A. 8 in. B. 9 in. C. 16 in. D. 18 in. A B C D 5Min 3-6

(over Lesson 11-3) Find the area of a regular hexagon with side length of 8 centimeters. Round to the nearest tenth if necessary. A. 332.5 cm2 B. 192 cm2 C. 166.3 cm2 D. 48 cm2 A B C D 5Min 4-1

(over Lesson 11-3) Find the area of a square with an apothem length of 14 inches. Round to the nearest tenth if necessary. A. 1568 in2 B. 784 in2 C. 392 in2 D. 196 in2 A B C D 5Min 4-2

(over Lesson 11-3) Find the area of a regular triangle with side length of 18.6 meters. Round to the nearest tenth if necessary. A. 346 m2 B. 299.6 m2 C. 173 m2 D. 149.8 m2 A B C D 5Min 4-3

(over Lesson 11-3) Find the area of the shaded region to the nearest tenth. Assume that the polygon is regular. A. 51.4 units2 B. 78.6 units2 C. 131.1 units2 D. 182.5 units2 A B C D 5Min 4-4

(over Lesson 11-3) Find the area of the shaded region to the nearest tenth. Assume that the polygon is regular. A. 254.6 units2 B. 162.0 units2 C. 127.3 units2 D. 92.5 units2 A B C D 5Min 4-5

Find the area of a circle with a diameter of 8 inches. (over Lesson 11-3) Find the area of a circle with a diameter of 8 inches. A. 4 in2 B. 8 in2 C. 16 in2 D. 64 in2 A B C D 5Min 4-6

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-4) Find the area of the figure. Round to the nearest tenth if necessary. A. 179.2 units2 B. 140 units2 C. 100.7 units2 D. 63.1 units2 A B C D 5Min 5-1

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-4) Find the area of the figure. Round to the nearest tenth if necessary. A. 104 units2 B. 121 units2 C. 165 units2 D. 330 units2 A B C D 5Min 5-2

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-4) Find the area of the figure. Round to the nearest tenth if necessary. A. 120 units2 B. 108 units2 C. 84 units2 D. 72 units2 A B C D 5Min 5-3

Find the area of the figure. Round to the nearest tenth if necessary. (over Lesson 11-4) Find the area of the figure. Round to the nearest tenth if necessary. A. 109.1 units2 B. 117.7 units2 C. 168 units2 D. 218.24 units2 A B C D 5Min 5-4

Find the area of the figure. (over Lesson 11-4) Find the area of the figure. A. 6 units2 B. 12 units2 C. 14.43 units2 D. 24 units2 A B C D 5Min 5-5

Find the area of the figure. (over Lesson 11-4) Find the area of the figure. A. 112 units2 B. 136.8 units2 C. 162.3 units2 D. 212.5 units2 A B C D 5Min 5-6

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