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: 44

Answer

area = $28 \text{ square meters}$

Work Step by Step

The area of the figure is equal to the sum of the areas of the rectangle and the small square (refer to the attached image below). RECALL: (1) The area of a rectangle can be found using the formula $A=lw$ where l = length and w = width. (2) The area of a square is given by the formula $A = s^2$ where s = the length of the sides. The rectangle has a length of $6$ meters and a width of 4 meters. Thus, its area is: $A=6(4) = 24$ square meters. The square has a sidelength of 2 meters. Thus, its area is: $A= 2^2 = 4$ square meters. Therefore, the area of the given figure is: $=\text{area of the rectangle} + \text{area of the square} \\=24 + 4 \\=28 \text{ square meters}$
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