# Chapter 8 - Polynomials and Factoring - 8-4 Multiplying Soecial Cases - Got It? - Page 505: 2

The area of the walkway is $(16x+64) ft^{2}$.

#### Work Step by Step

Find the total area of the patio and walkway. $(x+8)^{2}$ ...square the binomial. $=x^{2}+2(x)(8)+8^{2}$ ...simplify. $=x^{2}+16x+64$ Find the area of the patio The area of the patio is $x\cdot x$, or $x^{2}$. Find the area of the walkway. Area of walkway=Total area - Area of patio $A=(x^{2}+16x+64)-x^{2}$ $=(x^{2}-x^{2})+16x+64$ ...add like terms. $=16x+64$ The area of the walkway is $(16x+64) ft^{2}$.

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