. An inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire area of the pool including the walkway is 924 ft2, find the width of the walkway.

For this case we have that the pool area without including the walkway isA = (16) * (32) = 512ft ^ 2
 Then, we have that the entire area of the pool including the walkway is
 Aw = 924 ft2.
 (16 + 2w) * (32 + 2w) = 924
 512 + 32w + 64w + 4w ^ 2 = 924
 512 + 96w + 4w ^ 2 = 924
 Solving for w> 0
 -412 + 96w + 4w ^ 2 = 0
 w = 3.72 ft
 answer
 the width of the walkway is w = 3.72 ft