Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 8 - Geometry - 8.5 Triangles - 8.5 Exercises - Page 566: 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
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.