Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 8 - Section 8.4 - Circumference and Area of a Circle - Exercises - Page 373: 18

Answer

The smallest possible value of the perimeter is 24 inches.

Work Step by Step

For a given area, the rectangle with the smallest perimeter is a square. If the area is $36~in^2$, then each side of the square has a length of $6~in$ We can find the perimeter: $P = (4)(6~in) = 24~in$ The smallest possible value of the perimeter is 24 inches.
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