Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 12 - Section 12.3 - Triangles - Exercise - Page 401: 49

Answer

Number of Bags Needed$: 4.83~bags\approx5~bags$

Work Step by Step

To find the number of bags needed, we need to first find the area of the shaded corner. The formula for the area of the triangle is: $A=\frac{bh}{2}$ where the lengths are: $b=20ft$ $h=36ft$ So, we have the corner area: $A=\frac{(20ft)(36ft)}{2}=360 ft^{2}$ The number of bags is the total area divided by the amount of space one bag covers. Thus, we have: $bags=\frac{A}{75ft^{2}}=\frac{360ft^{2}}{75ft^{2}}=4.83~ bags\approx5~bags$
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