11-2 Areas of Trapezoids, Rhombi, and Kites

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Presentation transcript:

11-2 Areas of Trapezoids, Rhombi, and Kites You found areas of triangles and parallelograms. Find areas of trapezoids. Find areas of rhombi and kites.

Definitions A rhombus is a quadrilateral with four congruent sides. (All rhombuses are parallelograms.) A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are the bases of the trapezoid, and the nonparallel sides are its legs. base leg

Classify each quadrilateral as a square, rectangle, rhombus, parallelogram or trapezoid. rectangle, parallelogram trapezoid square, rectangle, rhombus, parallelogram trapezoid rhombus, parallelogram

The area of a trapezoid is the product of half the sum of the bases (b1 and b2) and the height (h).

Find the area of the trapezoid 9 4.5 5.5 5 cm 14 cm 2 6 8 37.125 47.5 cm2 30

SHAVING Find the area of steel used to make the side of the razor blade shown below. Area of a trapezoid h = 1, b1 = 3, b2 = 2.5 Simplify. Answer: A = 2.75 cm2

Find the area of the side of the pool outlined below. A. 288 ft2 B. 295.5 ft2 C. 302.5 ft2 D. 310 ft2

Definitions Rhombus: a quadrilateral with all four sides congruent. Kite: a quadrilateral with exactly two pairs of consecutive congruent sides.

The area of a rhombus or kite is ½ of the product of diagonal 1 and diagonal 2. p. 791

A. Find the area of the kite. Area of a kite d1 = 7 and d2 = 12 Answer: 42 ft2

B. Find the area of the rhombus. Area of a Rhombus and a Kite B. Find the area of the rhombus. Step 1 Find the length of each diagonal. Since the diagonals of a rhombus bisect each other, then the lengths of the diagonals are 7 + 7 or 14 in. and 9 + 9 or 18 in. Step 2 Find the area of the rhombus. Area of a rhombus d1 = 14 and d2 = 18 Simplify. 2 Answer: 126 in2

A. Find the area of the kite. A. 48.75 ft2 B. 58.5 ft2 C. 75.25 ft2 D. 117 ft2

B. Find the area of the rhombus. A. 45 in2 B. 90 in2 C. 180 in2 D. 360 in2

Area Formulas p. 792

No formulas with numbers in it, no credit 11-2 Assignment Page 793, 8-16 No formulas with numbers in it, no credit