Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 10 - Section 10.1 - The Rectangular Coordinate System - Exercises - Page 457: 33

Answer

17 sq units

Work Step by Step

1. Use formula for area of a triangle A=$\frac{1}{2}$(base)(height) and find the area of all 3 triangles. 2. Use A=lw to find the area of the rectangle 3. Subtract the area found for all 3 triangles from the area of the rectangle. [(7$\times$5)-(0.5$\times$4$\times$6)-(0.5$\times$1$\times$5)-(0.5$\times$1$\times$7)] =35-12-2.5-3.5 =17 sq units
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