Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.3 Rectangles and Squares - 8.3 Exercises - Page 551: 16

Answer

$P$ = 26 cm $A$ = 35.5 cm$^{2}$

Work Step by Step

To find the perimeter add all of the length of sides together. $P$ = 3.5 cm + 3 cm + 1.5 cm + 5 cm + 5 cm + 8 cm $P$ = 26 cm To find the area we can break the shape into two rectangles. The first measuring 3.5 cm x 3 cm and the second measuring 5 cm x 5 cm. Find the area of each, and then add the results together to determine the total area. $A$$_{1}$ = 3.5 cm * 3 cm $A$$_{1}$ = 10.5 cm$^{2}$ $A$$_{2}$ = 5 cm * 5 cm $A$$_{2}$ = 25 cm$^{2}$ $A$ = $A$$_{1}$ + $A$$_{2}$ $A$ = 10.5 cm$^{2}$ + 25 cm$^{2}$ $A$ = 35.5 cm$^{2}$
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