Elementary Geometry for College Students (7th Edition) Clone

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

Chapter 8 - Section 8.2 - Perimeter and Area of Polygons - Exercises - Page 370: 22

Answer

8 units

Work Step by Step

Lets assume that the side of square = x As we know the area of square = side * side = $x^{2}$ Perimeter of square = 4* side = 4x by given condition $x^{2}$ - 4x=32 $x^{2}$ - 4x - 32 = 0 $x^{2}$ - 8x +4x -32 = 0 x(x-8) +4(x-8)=0 (x+4) (x-8) = 0 x+4 = 0 x = -4 x-8 = 0 x =8 The length of the square cannot be negative so length of the square is 8 units.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.