Question

An inground rectangular pool has a concrete pathway surrounding the pool if the pool is 16' x 32' in the entire area of the pool including the walkway is 924 ft.² find the width of the walkway

Answer 1

So the pool is a rectangle that is 12 by 32. The walkway around the pool adds w to each side so the total dimensions are 12+2w by 32+2w. We can multiply these together and use the quadratic formula to find w to equal -12 + sqrt(247) or about 3.716. Work in attached picture.