SOLUTION: A rectangular pool is 8m longer than its width. The pool has a walk way of 2m around the whole pool. The total area of the walkway is 176m^2. What are the pool dimensions? so fa

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Question 1084002: A rectangular pool is 8m longer than its width. The pool has a walk way of 2m around the whole pool. The total area of the walkway is 176m^2. What are the pool dimensions?
so far I have:
(8+W)(W)-4= 176
Is this correct?
(W= width)
final answer: width= 22.5 m
length = 30.5 m
Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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rectangular pool is 8m longer than its width.
------------------------------------------------

x, the width of pool
x+8, length of pool
x(x+8), just the area of the pool


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The pool has a walk way of 2m around the whole pool.
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Combined area of pool and walkway, %28x%2B2%2A2%29%28x%2B8%2B2%2A2%29
%28x%2B4%29%28x%2B12%29



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The total area of the walkway is 176m^2
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Area of just the area of the walkway, %28x%2B4%29%28x%2B12%29-x%28x%2B8%29=176
Simplify this walkway area equation.

x%5E2%2B16x%2B48%2Bx%5E2-8x-176=0* MISTAKE IDENTIFIED HERE - Incorrect Sign
cross%28x%5E2%2B8x-128=0%29------------Solve this for the width of pool, x, and evaluate length of pool.







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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A rectangular pool is 8m longer than its width. The pool has a walk way of 2m around the whole pool. The total area of the walkway is 176m^2. What are the pool dimensions?
so far I have:
(8+W)(W)-4= 176
Is this correct?
(W= width)
final answer: width= 22.5 m
length = 30.5 m


ALWAYS, ALWAYS, ALWAYS IGNORE everything written by the other person who gave you this equation: highlight_green%28x%5E2+%2B+24x+-+128+=+0%29

It's UTTER RUBBISH....This and almost 99% of his answers.



BTW: Your equation should NOT be: (8+W)(W)-4= 176, but (8 + W + 4)(W + 4) - (8 + W)W = 176, instead.

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
-------------------------------------------------
rectangular pool is 8 m longer than its width.
------------------------------------------------

x, the width of pool
x+8, length of pool
x(x+8), just the area of the pool


---------------------------------------------------------
The pool has a walk way of 2 m around the whole pool.
---------------------------------------------------------
Combined area of pool and walkway, %28x%2B2%2A2%29%28x%2B8%2B2%2A2%29
%28x%2B4%29%28x%2B12%29



-----------------------------------------------
The total area of the walkway is 176m^2
-----------------------------------------------

Area of just the area of the walkway, %28x%2B4%29%28x%2B12%29-x%28x%2B8%29=176
Simplify this walkway area equation.

x%5E2%2B16x%2B48-x%5E2-8x = 176
16x + 48 - 8x = 176,
8x = 176 - 48,
8x = 128 ---> x = 128%2F8 = 16.

Answer. The width of the pool = 16 m; the length is 16+8 = 24 m.


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The solution by "josgarithmetic" was WRONG.

For your safety, simply ignore it.