Answer
$x^{2}+8x+16$
Work Step by Step
$\text{Length of a side of the square}=x+4$
$\text{Area of the square}=(x+4)^{2}$
Using square of a binomial pattern $(a+b)^{2}=a^{2}+2ab+b^{2}$, we have
$(x+4)^{2}=x^{2}+2(x)(4)+4^{2}$
$=x^{2}+8x+16$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 7 - Polynomial Equations and Factoring - 7.3 - Special Products of Polynomials - Exercises - Page 375: 11
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