Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set: 72


$(4x^{2}+8x+16)$ feet$^{2}$

Work Step by Step

We know that the area of a square is calculated as $side \times side$. We are given that the length of one side of the square is $(x+4)$ feet. Therefore, $Area=(x+4)(x+4)=x(x+4)+4(x+4)=(x)(x)+(x)(4)+(4)(x)+(4)(4)=x^{2}+4x+4x+16=(4x^{2}+8x+16)$ feet$^{2}$.
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