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: 20

Answer

36 $unit^{2}$

Work Step by Step

We need to find out the shaded region area. Area of the shaded region = area of rectangle - area of triangle. Area of rectangle whose base has length b and height has length h is given by A =bh from the given rectangle base =12, h = 6 area of rectangle = bh = 12 * 6 = 72 $units^{2}$. Area of triangle whose base has length b and altitude has length h is given by A = $\frac{1}{2}$ bh . From given figure , A = $\frac{1}{2}$ * 12 * 6 = 36 $unit^{2}$ . Area of the shaded region = area of rectangle - area of triangle = 72 - 36 = 36 $unit^{2}$.
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