Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 372: 54

Answer

32

Work Step by Step

We first cut the base into half by creating a diagonal of length 5 from the upper right hand corner. Next, knowing that the distance between this diagonal and the altitude that starts at the upper right hand corner is 3, we find: $h = \sqrt{5^2 - 3^2} = 4 $ Using this, we find: $ A = 1/2(b_1 + b_2)(h) = 1/2(16)(4)=32$
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