ESSENTIAL QUESTION: How do you calculate the area of trapezoids?

Slides:

Advertisements

Similar presentations

Area of Trapezoids.

Advertisements

Museums The Rock and Roll Hall of Fame and Museum in Cleveland, Ohio, has a triangular shaped wall. What is the area of the wall? In the Real World Areas.

How do I find the surface area and volume of a sphere?

Section 8.5. Find the area of parallelograms. Base of a parallelogram Height of a parallelogram Parallelogram Rhombus.

Divide each side by 2. Write original equation. Write 3x + 2y = 8 so that y is a function of x. EXAMPLE 2 Rewrite an equation Subtract 3x from each side.

EXAMPLE 1 Finding the Area of a Parallelogram SOLUTION A = bh Write formula for area. = 8 10 Substitute 8 for b and 10 for h. = 80 Multiply. ANSWER The.

Warm Up Course Perimeter and Area of Triangles and Trapezoids A rectangle has sides lengths of 12 ft and 20 ft. 2. Find the area. 1. Find the perimeter.

Bell Work Find the area of each figure. 5 in 9 in 13 in 6 in 16 in 22 in 10 in A = (13 + 9) 5 A = 11 5 A = (22) 5 A = 55 in² A = ( ) 10 A =

8-4 Area of Triangles and Trapezoids Learn to find the area of triangles and trapezoids.

Ms. Cuervo CAHSEE Prep AREA. Area 7MG 2.1 Students will find the area of rectangles, squares, trapezoids, parallelograms, triangles and circles. Vocabulary:

Area of Trapezoids. Given the formula for the area of a parallelogram we are going to use that information to discover the formula for the area of a trapezoid.

Over Lesson 11–5 A.A B.B C.C D.D 5-Minute Check 1 Find the measure of all angles. Over Lesson x 54 2x.

Solving Radical Equations

Changing Dimensions What’s the effect on Perimeter and Area??

Area of a Trapezoid. Find the area of each figure Find each missing measure. 3. Area = 100 in 2 4. Area = 25.2 cm 2 x 10.5 h 2.3 ft 2 10.

Do Now 1. Find the area of a parallelogram with base 12 inches and height 3 inches. 2. The height of a trapezoid is 7 meters. The bases are 16 meters and.

8-2 Area of Polygons Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes.

EXAMPLE 2 Rewrite a formula with three variables SOLUTION Solve the formula for w. STEP 1 P = 2l + 2w P – 2l = 2w P – 2l 2 = w Write perimeter formula.

Area & Perimeter. SHAPE OVERVIEW Rectangle Triangle Hexagon Trapezoid Square Parallelogram Pentagon Circle.

Areas of Polygons COURSE 3 LESSON 8-7 Find the area of each parallelogram. a.b. A = bh Use the area of a parallelogram formula. = (32) (20) = (15) (11)

EXAMPLE 3 Standardized Test Practice SOLUTION

Perimeter and Area January 24, Perimeter Example 1Find the Perimeter a. a square with a side length of 10 inches10 in. P = 4sPerimeter formula =

Area of Quadrilateral.

Area of Parallelograms, Triangles and Trapezoids.

EXAMPLE 1 Finding Area and Perimeter of a Triangle Find the area and perimeter of the triangle. A = bh 1 2 P = a + b + c = (14) (12) 1 2 =

EXAMPLE 3 Standardized Test Practice A = lw 63 = 9w 63 = = w Write area formula. Substitute values. Divide each side by 9. Simplify. ANSWERThe.

Given the parallelogram at right, we are able to determine that its area is equal to Activity You can use a parallelogram to find the area of a triangle.

Example 1 Find the Area of a Right Triangle Find the area of the right triangle. SOLUTION Use the formula for the area of a triangle. Substitute 10 for.

Base of a parallelogram Height of a parallelogram Parallelogram Rhombus.

Find the surface area of a sphere

Find the Area of a Square Example 1 Find the area of the square. SOLUTION Use the formula for the area of a square and substitute 9 for s. A = s 2 Formula.

Geometry – Triangles and Trapezoids.  All Triangles are related to rectangles or parallelograms : Each rectangle or parallelogram is made up of two triangles!

Volume of Pyramids and Cones Section 9.5. Objectives: Find the volumes of pyramids and cones.

Holt Algebra Solving Radical Equations Warm Up(Add to Hw) Solve each equation. 1. 3x +5 = x + 1 = 2x – (x + 7)(x – 4) = 0 5. x 2.

Rectangles, Parallelograms and Squares Area and Perimeter.

Calculate Surface Area of Pyramids & Cones

EXAMPLE 3 Find the area of an isosceles triangle

ESSENTIAL QUESTION: How do you calculate the area of triangles?

Area of Triangles and Trapezoids

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

LESSON 7.4 AREAS OF TRAPEZOIDS, RHOMBUSES, AND KITES OBJECTIVE:

How do you calculate the area of squares and rectangles?

Area of Trapezoids.

Areas of Parallelograms and Trapezoids

7.1 OBJ: Use ratios and proportions.

Rewrite a formula with three variables

ESSENTIAL QUESTION: How do you find the area of parallelograms?

EXAMPLE 1 Finding Area and Perimeter of a Triangle

7.1 Apply the Pythagorean Theorem

Section 11-5 Solving Radical Equations

Quadrilaterals II by Monica Yuskaitis.

Finding the Area of Special Quadrilaterals

Objectives Develop and apply the formulas for the areas of triangles and special quadrilaterals. Solve problems involving perimeters and areas of triangles.

In a 40 minute period, Students will be able to find perimeters and areas of parallelograms and triangles using the appropriate formula and score 80% or.

Warm Up: Find the circumference of the circle. Round to nearest hundredth 1. r = 3.4 m d = 9 cm Find the area of the figures. 3. Circle with.

Find the surface area of a sphere

Quadrilaterals II Geometry – Unit 6.

Area of Parallelograms

Areas of Trapezoids, Rhombi, and Kites

Area of Trapezoids.

Unit 10: 2-Dimensional Geometry

Warm Up Solve each equation

Area of Parallelogram.

Objective : Learn to find the area of a triangle.

Areas of Parallelograms, Triangles, Trapezoids and Rhombi

Chapter 8 Polygons and Area.

Chapter 8 Polygons and Area.

Warm Up Find the unknown side length in each right triangle with legs a and b and hypotenuse c. 1. a = 20, b = b = 21, c = a = 20, c = 52 c.

Presentation transcript:

ESSENTIAL QUESTION: How do you calculate the area of trapezoids? 8.6 ESSENTIAL QUESTION: How do you calculate the area of trapezoids?

VOCABULARY The shortest distance between the bases of a trapezoid is the height of the trapezoid.

Area of a Trapezoid

Find the area of the trapezoid. Example 1 Find the Area of a Trapezoid Find the area of the trapezoid. SOLUTION Formula for the area of a triangle A = h(b1 + b2) 1 2 = 1 2 (5)(6 + 8) Substitute 5 for h, 6 for b1, and 8 for b2. = 1 2 (5)(14) Simplify within parentheses. = 35 Simplify. ANSWER The area of the trapezoid is 35 square inches. 6

Find the area of the trapezoid. Checkpoint Area of Trapezoids Find the area of the trapezoid. 1. ANSWER 63 m2 2. ANSWER 182 ft2 3. ANSWER 50 cm2

Example 2 Use the Area of a Trapezoid Find the value of b2 given that the area of the trapezoid is 96 square meters. SOLUTION A = 1 2 h(b1 + b2) Formula for the area of a trapezoid 1 2 (8)(9 + b2) 96 = Substitute 96 for A, 8 for h, and 9 for b1. 192 = 8(9 + b2) Multiply each side by 2. 192 = 72 + 8b2 Use the distributive property. 120 = 8b2 Subtract 72 from each side. 15 = b2 Divide each side by 8. ANSWER The value of b2 is 15 meters. 8

A gives the area of the trapezoid. Find the missing measure. Checkpoint Use the Area of a Trapezoid A gives the area of the trapezoid. Find the missing measure. 4. A = 77 ft2

Checkpoint Use the Area of a Trapezoid 5. A = 39 cm2 ANSWER 12 yards

Checkpoint Use the Area of a Trapezoid 5. A = 39 cm2 ANSWER 12 yards

Checkpoint Use the Area of a Trapezoid 6. A = 84 in.2 A trapezoid has an area of 294 square yards. Its height is 14 yards and the length of one base is 30 yards. Find the length of the other base. 7. ANSWER 12 yards

Checkpoint Use the Area of a Trapezoid 6. A = 84 in.2 A trapezoid has an area of 294 square yards. Its height is 14 yards and the length of one base is 30 yards. Find the length of the other base. 7. ANSWER 12 yards

A gives the area of the trapezoid. Find the missing measure. Checkpoint Use the Area of a Trapezoid A gives the area of the trapezoid. Find the missing measure. 4. A = 77 ft2 ANSWER h = 7 ft 5. A = 39 cm2 ANSWER b1 = 5 cm 6. A = 84 in.2 ANSWER b2 = 8 in. A trapezoid has an area of 294 square yards. Its height is 14 yards and the length of one base is 30 yards. Find the length of the other base. 7. ANSWER 12 yards

1. Find the area of the parallelogram. ANSWER 72 square units 2. Find the area of the rhombus. ANSWER 288 square units 3. The area of the parallelogram is 27 square meters. Find the height. ANSWER 9 m 4. A parallelogram has a height of 8 feet and an area of 96 square feet. Find the base. ANSWER 12 ft

Worksheet 8.6A