Question

The dimensions of Eric’s pool are 9 feet by 7 feet. He wants to build a walkway surrounding the pool so that the square footage of the walkway and pool is 143 square feet. How wide is one side of the walkway? Show Work.

Answer 1

dear i feel it will be 144 square feet instead of 143 square feet

Answer 2

length=9ft + {walkway on both sides}=9+2x
width=7ft + {walkway on both sides}=7+2x

143=(9+2x)(7+2x)
0=4x^2+32x-80
0=(x-2)(x+10)

x=-10,2

since we can't have a negative length for the walkway, it must be positive. hence our walkway is 2ft wide.

area={length}*{width}
={9+2x}*{7+2x}
={13}*{11}
=143

Answer 3

what about square footage including pool???????