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? Use the picture below to help you.

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? Use the picture below to help you.

anonymous · Answer

attachment

anonymous · Answer

the area increase is the same as if it would be like in my picture

anonymous · Answer

the area of the sidewalk has many portions, illustrated in the attached picture

anonymous · Answer

how can it be solved by factoring though.

anonymous · Answer

the pool area is 7 x 9 = 63 ft^2 ,right?

anonymous · Answer

yes

anonymous · Answer

the remaining difference consists of the three portions in the picture:
remaining difference: 143 - 63 = 80 ft^2

2*(x*9) + 2*(x*7) + 4*x^2 = 80 ft^2