Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.1 - Addition and Subtraction of Polynomials - Problem Set 5.1 - Page 196: 77

Answer

We can represent the sum of the areas of the rectangles and squares by 20$x^{2}$.

Work Step by Step

The area of the first square is equal to 2x $\times$ 2x = 4$x^{2}$ The area of the second (larger) square is equal to 3x $\times$ 3x = 9$x^{2}$ The area of the smaller rectangle is equal to x $\times$ 3x = 3$x^{2}$ The area of the bigger rectangle is equal to x $\times$ 4x = 4$x^{2}$ The sum of all these area is: 4$x^{2}$ + 9$x^{2}$ + 3$x^{2}$ + 4$x^{2}$ = 20$x^{2}$ We can represent the sum of the areas of the rectangles and squares by 20$x^{2}$.
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