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 67: 58


$\frac{25n^2}{4}\ units^2$

Work Step by Step

Use the formula for perimeter to find the length of the side: $P=4s$ $10n=4s$ $10n\div4=4s\div4$ $\frac{10n}{4}=s$ $\frac{(/\!\!2)(5)n}{(/\!\!2)(2)}=s$ $\frac{5n}{2}=s$ Use the formula for the area: $A=s^2$ $A=(\frac{5n}{2})^2$ $A=\frac{25n}{4}^2$
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