Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 3 - Equations and Problem Solving - 3.5 - Problem Solving - Problem Set 3.5: 12

Answer

The length of each side of the square is 18 cm.

Work Step by Step

Let X represent the length of one side of the square. One side of the equilateral triangle is 6 centimeters longer than the side of the square, which equals X + 6. The perimeter of a triangle is equal to the sum of all its sides. X+ 6 + X + 6 + X + 6 = 3X + 18 The perimeter of a square can be found by using the formula: P = 4s 4 $\times$ X = 4X Since the perimeters are the same, we can set up the following equation: 3X + 18 = 4X 18 = 4X - 3X X = 18 The length of each side of the square is 18.
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