Elementary Geometry for College Students (7th Edition)

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

Chapter 8 - Section 8.3 - Regular Polygons and Area - Exercises - Page 378: 42

Answer

112

Work Step by Step

There are 5 squares. The area of these squares is: $$ A=5\cdot s^2 \\ 5 \cdot 4^2 \\ 80$$ There are 4 identical triangles. Their area is equal to: $$ A= (4)(.5bh) \\ A =(4)(.5)(4)(4) \\ A = 32$$ Thus, the total area is: $$ = 80+32 \\ =112$$
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