A square outdoor patio with side length x feet is surrounded by a brick walkway that is 4 feet wide. What is the area of the walkway

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Mathematics Acacia 4 years 2021-09-02T23:09:13+00:00 2021-09-02T23:09:13+00:00 1 Answers 17 views 0

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thuthuy · Answer 1 · 2021-09-02T23:10:44+00:00

Answer:

Area of walkway = 16(x+4) $ft^{2}$

Step-by-step explanation:

Length of the sides of the square outdoor = x feet

Area of the square outdoor = length x length

= x * x

= $x^{2}$ $ft^{2}$

The square outdoor is surrounded by 4 feet of walkway. So that,

length of the walkway = (x + 2(4))

= (x + 8)

Area of walkway with outdoor = (x + 8)*(x + 8)

= ( $x^{2}$ + 16x + 64) $ft^{2}$

Area of walkway = Area of walkway with outdoor – Area of the square outdoor

= ( $x^{2}$ + 16x + 64) – $x^{2}$

= 16x + 64

Area of walkway = 16(x+4) $ft^{2}$