## Basic College Mathematics (10th Edition)

Published by Pearson

# Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises - Page 566: 26

Total cost to pave the parking lot: \$87,150 #### Work Step by Step To find the area of the parking lot we simply need to find the area of the entire parking lot and subtract the area of the building. Area of a Triangle:$A$$_{tri} = \frac{1}{2}$$b$$h Area of a Rectangle: A$$_{rec}$=$l$$w A$$_{tri}$=$\frac{1}{2}$(40 yd)(38 yd)$A$$_{tri} = 760 yd^{2} A$$_{rec}$= (65 yd)(50 yd)$A$$_{rec} = 3250 yd^{2} A$$_{lot}$=$A$$_{rec} - A$$_{tri}A$$_{lot} = 3250 yd^{2} - 760 yd^{2} A$$_{lot}$= 2940 yd$^{2}A_{lot}$represents the total square feet of the parking lot. Now we simply multiply by the cost per square foot. Therefore: Cost =$C$= 2940 * \$35 $C$ = \\$87,150

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