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

Area of walkway = 16(x+4)
`ft^(2)`

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)`