## Precalculus (10th Edition)

Published by Pearson

# Chapter 8 - Applications of Trigonometric Functions - 8.4 Area of a Triangle - 8.4 Assess Your Understanding - Page 544: 37

$\$5,446.38$#### Work Step by Step By Heron's formula,$K=\sqrt{s(s-a)(s-b)(s-c)}$, where$s=\frac{a+b+c}{2}.$Hence, here$s=\frac{100+50+75}{2}=112.5$Thus,$K=\sqrt{112.5(112.5-100)(112.5-50)(112.5-75)}\approx1815.46.$The unit price is$3$dollars per square foot. Multiply the area and the cost per square foot to obtain: Total cost =$\$3(1815.46)=\$5,446.38\$

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