Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Practice and Problem-Solving Exercises - Page 431: 58


a. $A=4r^{2}$ b. $64$ c. $14$ in.

Work Step by Step

$a.$ The side length of the box is two radii, $2r.$ The area of a square with side length $2r$ is $A=(2r)^{2}=2^{2}r^{2}=4r^{2}$ $b.$ If $r=4$ in, $A=4\cdot 4^{2}=4\cdot 16=64$ $c.$ If $A=196,$ then $4r^{2}=196$ $r^{2}=49$ $r=9$ So, the greatest diameter is $2r=14$ in.
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