walkway is being installed around a rectangular swimming pool. pool is 30 ft by 12 ft
area of pool and walkway (uniform width) is 1288 sq. ft.
what is the width of the walkway?
thx guys
Pool area is 30 x 12 = 360 ft^2
will be bounded by walkway which is ( 30 +2w) feet long x two and 12 feet long x two
The width will be 'w'
(30+2w)(2) + 12(2) ) (w) =( 1288-360)
(60 + 4w +24)w = 928 ft^2
60w + 4w^2 + 24w
4w^2 + 84w -928 = 0 Divide by 4
w^2 + 21w - 232 = 0
Use quadratic formula to find w = -52/8 (extraneous) or 8 ft wide