Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 359: 25

Answer

(a) The area of the outside wall is $300~ft^2$ (b) 3 gallons (c) $67.50

Work Step by Step

(a) We can find the area of the rectangular section: $A_r = l\times w = (24~ft)(10~ft) = 240~ft^2$ We can find the area of the triangular section: $A_t = \frac{1}{2}~b\times h = \frac{1}{2}~(24~ft)(5~ft) = 60~ft^2$ The total area of the outside wall is $300~ft^2$ (b) We can find the number of gallons of paint required: $\frac{300~ft^2}{105~ft^2/gallon} \approx 3~gallons$ (c) We can find the cost of the paint: $cost = (\$22.50/gallon)(3~gallons) = \$67.50$
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