SOLUTION: A swimminng pool is 8ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft. The combined area of the pool and the walkway is 1280 ft squared. find the dimens

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Question 162682: A swimminng pool is 8ft longer than it is wide. The pool is surrounded by a walkway of width 4 ft. The combined area of the pool and the walkway is 1280 ft squared. find the dimensions of the pool without the walkway.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Area of pool w/ walkway=A%5Bpw%5D=1280tf%5E2=LW, EQN 1
where, W=x%28ft%29; L=x%2B8%28ft%29
For the L we need to add 4ft on both sides to add the walkway, also for the W we need to add 4ft on both sides for the walkway.
W=x%2B4%2B4; L=x%2B8%2B4%2B4 ----> new dimensions, susbt. in EQN 1
A%5Bpw%5D=%28x%2B8%2B4%2B4%29%28x%2B4%2B4%29--------------> Working Eqn
1280=%28x%2B16%29%28x%2B8%29
x%5E2%2B16x%2B8x%2B128-1280=0, multiply & put all terms in one side
x%5E2%2B24x-1152=0
*note: system%28a=1%2Cb=24%2Cc=-1152%29
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
Continue it. ANSWER ----> x=24ft, ORIG. WIDTH
24%2B8=32ft, ORIG LENGTH
In doubt? Go back Working Eqn,
1280=%2824%2B8%2B4%2B4%29%2824%2B4%2B4%29
1280=%2840%29%2832%29
1280=1280
Thank you,
Jojo