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7.4: Areas of Trapezoids, Rhombuses and Kites Objectives: To find the area of a trapezoid, rhombus and kite. To use right triangles in finding area of geometric figures

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TRAPEZOID The height (h) is the perpendicular distance between the bases b 1 and b 2 are the bases (the parallel sides) LEG b1b1 b2b2

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AREA OF A TRAPEZOID Find the area of the trapezoid: 12cm 15 cm 7cm

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Find the area: 14 in 8 in 20 in.

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Using Special Right Triangles to Find Area: 1.Draw in height 2.Use special right triangle relationship to find height 60° 5 m 7 m

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Find the area: 45° 12 ft 16 ft

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If the area of a trapezoid is 112 m 2, and the lengths of the bases are 11 m and 21 m, what is the height?

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Area of a RHOMBUS or a KITE Only one formula to know! It’s the same for both! Area = ½ the product of the lengths of the diagonals Area = or PLEASE, PLEASE, PLEASE BE CAREFUL!!! IT IS THE PRODUCT OF THE DIAGONALS, NOT THE SUM!!

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RHOMBUSKITE d1d1 d2d2 d1d1 d2d2

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Find the area of the kite: 1.2. 33 5 24.5 210

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Find the area of the Rhombus: What do we know about the diagonals of a rhombus? Use the Pythagorean Theorem to find the length of BE: 15 m 12 m B E C D A

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