Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Review Exercises - Page 262: 12

Answer

The lengths of the sides are 8, 12, 20, and 28.

Work Step by Step

The ratio of the sides is 2:3:5:7. The total perimeter is 68. The sides therefore must be equal to 2, 3, 5, and 7 multiplied by the same number and then added to a total of 68. We'll call this number x. First we have to solve for x 2x + 3x + 5x + 7x = 68 Simplify 17x = 68 Divide each side by 17 x = 68 $\div$ 17 x = 4 Now we return to the sides 2x, 3x, 5x, and 7x. 2(4) = 8 3(4) = 12 5(4) = 20 7(4) = 28
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.