Elementary Geometry for College Students (7th Edition)

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

Chapter 5 - Review Exercises - Page 273: 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
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