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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

 Dec 10, 2018
 #1
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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

 Dec 10, 2018

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