Answer:
Area of walkway = 16(x+4) [tex]ft^{2}[/tex]
Step-by-step explanation:
Length of the sides of the square outdoor = x feet
Area of the square outdoor = length x length
= x * x
= [tex]x^{2}[/tex] [tex]ft^{2}[/tex]
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)
= ([tex]x^{2}[/tex] + 16x + 64) [tex]ft^{2}[/tex]
Area of walkway = Area of walkway with outdoor - Area of the square outdoor
= ( [tex]x^{2}[/tex] + 16x + 64) - [tex]x^{2}[/tex]
= 16x + 64
Area of walkway = 16(x+4) [tex]ft^{2}[/tex]
