Basic College Mathematics (10th Edition)

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

Chapter 8 - Geometry - 8.4 Parallelograms and Trapezoids - 8.4 Exercises - Page 559: 17

Answer

Area = 4275 ft$^{2}$ Cost = $1410.75

Work Step by Step

We must first find the area of the lawn. Area of a Trapezoid: $A$ = $\frac{1}{2}$$h$($b$ +$B$) Therefore: Area = $A$ $A$ = $\frac{1}{2}$(45 ft)(80 ft + 110 ft) $A$ = $\frac{1}{2}$(45 ft)(190 ft) $A$ = $\frac{1}{2}$(8550 ft) $A$ = 4275 ft$^{2}$ Area = 4275 ft$^{2}$ Now we must multiply by the cost per square foot. Therefore: Cost = $C$ $C$ = (4275)(0.33) $C$ = $1410.75 Cost = $1410.75
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