Question

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

Answer 1

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) $ft^{2}$