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**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.

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**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

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

rectangle, parallelogram trapezoid square, rectangle, rhombus, parallelogram trapezoid rhombus, parallelogram

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

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**Find the area of the trapezoid**

9 4.5 5.5 5 cm 14 cm 2 6 8 37.125 47.5 cm2 30

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**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

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**Find the area of the side of the pool outlined below.**

A. 288 ft2 B ft2 C ft2 D. 310 ft2

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**Definitions Rhombus: a quadrilateral with all four sides congruent.**

Kite: a quadrilateral with exactly two pairs of consecutive congruent sides.

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

p. 791

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**A. Find the area of the kite.**

Area of a kite d1 = 7 and d2 = 12 Answer: 42 ft2

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**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 or 14 in. and 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

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**A. Find the area of the kite.**

A ft2 B ft2 C ft2 D. 117 ft2

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**B. Find the area of the rhombus.**

A. 45 in2 B. 90 in2 C. 180 in2 D. 360 in2

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Area Formulas p. 792

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**No formulas with numbers in it, no credit**

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

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Areas of parallelograms, triangles, kites, trapezoids and rhombi.

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