Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 360: 21

Answer

15 cm

Work Step by Step

The area of a trapezoid whose bases have lengths b1 and b2 and altitude has length of h is given by A = $\frac{1}{2}$*h(b1+b2) Given Area A= 96 $cm^{2}$ h = 8 cm b1 = 9cm Therefore 96 = $\frac{1}{2}$*8* (9 + b2) 96 = 36 + 4 b2 4b2 = 96 - 36 4b2 = 60 b2 = $\frac{60}{4}$ = 15 cm Length of the other base side = 15 cm
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