Geometry: Common Core (15th Edition)

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

Chapter 10 - Area - Mid-Chapter Quiz - Page 642: 12


26 $ft^{2}$

Work Step by Step

You first need to determine the height of the trapezoid. To do this first find the length of the base of the triangle. 8-5=3 Then, use the Pythagorean Theorem to find the height. $a^{2}$+$b^{2}$=$c^{2}$ $3^{2}$+$b^{2}$=$5^{2}$ 9+$b^{2}$=25 $b^{2}$=16 b=4 The formula for the area of a trapezoid is A=$\frac{1}{2}$h$(b_{1}$ +$b_{2}$) A=$\frac{1}{2}$(4)(5+8) A=$\frac{1}{2}$4(13) A=26
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