Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 10 - Area - 10-2 Areas of Trapezoids, Rhombuses, and Kites - Practice and Problem-Solving Exercises - Page 626: 17


30 $ft^{2}$

Work Step by Step

Find the height by using the Pythagorean Theorem: $a^{2}$+$b^{2}$=$c^{2}$ $3^{2}$+$b^{2}$=$5^{2}$ 9+$b^{2}$=25 $b^{2}$=16 b=4 (This is your height of the trapezoid.) We use the formula for the area of a trapezoid to obtain: A=$\frac{1}{2}$h($b_{1}$+$b_{2}$) A=$\frac{1}{2}$(4)(6+9) A=$\frac{1}{2}$(4)(15) A=30
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