Geometry: Common Core (15th Edition)

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

Chapter 1 - Tools of Geometry - 1-8 Perimeter, Circumference, and Area - Practice and Problem-Solving Exercises - Page 65: 33


$208\ ft^2$

Work Step by Step

Working from the top down, the figure can be divided as follows: one square with 4 ft sides one rectangle with 12 and 4 ft sides one rectangle with 20 and 4 ft sides two rectangles with 8 and 4 ft sides Compute the individual areas and add them to find the area of the figure: $A_1=s^2=4^2=16$ $A_2=bh=12\times4=48$ $A_3=bh=20\times4=80$ $A_4=bh=8\times4=32$ $A_5=bh=8\times4=32$ $A=A_1+A_2+A_3+A_4+A_5=16+48+80+32+32=208$
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