Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 1 - Solving Linear Equations - 1.4 - Solving Absolute Value Equations - Exercises - Page 34: 66

Answer

The base of the triangle is $12$ feet.

Work Step by Step

Let the base of the triangle is $=b$. Height of the triangle is $h=8$ feet Area of the triangle $A=48$ square feet. Area formula for the triangle is $\Rightarrow A=\frac{1}{2}bh$ Substitute $48$ for $A$ and $8$ for $h$. $\Rightarrow 48=\frac{1}{2}b(8)$ Simplify. $\Rightarrow 48=4b$ Divide each side by $4$. $\Rightarrow 12=b$ Hence, the base of the triangle is $12$ feet.
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