Elementary Algebra

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

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.1 - Factoring by Using the Distributive Property - Problem Set 6.1: 88

Answer

The answer is below.

Work Step by Step

We know: $A_{square} = 14 A_{triangle}$ Thus: $s^2 = (.5bh)(14)$ We know that h equals s. Thus: $s^2 = .5(7)(s)(14) \\ s = 49$ We now find each area: $A_{square} = 49^2 = 2401 \\ A_{triangle} = .5(7)(49)=171.5$ Checking this, we see that the area of the square is, indeed, 14 times greater.
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