Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises: 26

Answer

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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