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Mekhanik [1.2K]
3 years ago
13

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 wal

kway
Mathematics
1 answer:
Masja [62]3 years ago
7 0

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}

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