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.

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.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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