Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises - Page 682: 45

Answer

Area is: \[\underline{279.5\text{ f}{{\text{t}}^{2}}}\].

Work Step by Step

Length of rectangle is 24 feet and the breadth of the rectangle is 13 feet. The base and height of the triangle is 5 feet and 13 feet. Now, compute the area of the shaded region as mentioned below: \[\begin{align} & \text{Area of Shaded Region}=\text{Area of rectangle}-\text{Area of Triangle} \\ & =\left( \text{Length}\times \text{Breadth} \right)-\left( \frac{1}{2}\times \text{Base}\times \text{Height} \right) \\ & =\left( \text{24}\times \text{13} \right)-\left( \frac{1}{2}\times 5\times 13 \right) \\ & =312-32.5 \end{align}\] Therefore, the area of shaded region\[=279.5\]
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