Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 349: 26


(a) $1560~ft^2$ (b) 16 squares (c) $1560

Work Step by Step

(a) We can find the length $L$ along the slope from the top of the roof to one edge of the roof: $L = \sqrt{(5~ft)^2+(12~ft)^2}$ $L = \sqrt{25~ft^2+144~ft^2}$ $L = \sqrt{169~ft^2}$ $L = 13~ft$ We can find the total area of the roof: $A = 2\times (60~ft)(13~ft) = 1560~ft^2$ (b) We can find the number of required squares: $\frac{1560~ft^2}{100~ft^2/square} = 15.6~squares$ Since roofing is sold in squares, 16 squares must be purchased. (c) We can find the cost: $cost = (\$97.50/square)(16~squares) = \$1560$
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