Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.4 Parallelograms and Trapezoids - 8.4 Exercises: 23

Answer

The total area = 25344 ft$^{2}$

Work Step by Step

To find the area of the shape we simply break the she into two squares and one parallelogram, find the area of each, and then sum the results. Area of a Parallelogram: $A$$_{par}$ = $b$$h$ Therefore: $A$$_{par}$ = (96 ft)(72 ft) $A$$_{par}$ = 6912 ft$^{2}$ Area of a Square: $A$ = $l$$w$ Therefore: $A$$_{1}$ = (96 ft)(96 ft) $A$$_{1}$ = 9216 ft$^{2}$ $A$$_{2}$ = (96 ft)(96 ft) $A$$_{2}$ = 9216 ft$^{2}$ Total Area = $A$$_{total}$ = $A$$_{par}$ + $A$$_{1}$ + $A$$_{2}$ $A$$_{total}$ = 6912 ft$^{2}$ + 9216 ft$^{2}$ + 9216 ft$^{2}$ $A$$_{total}$ = 25344 ft$^{2}$
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