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
+36916 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
