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

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)   (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.
---------------------------------------------------------
Combined area of pool and walkway,

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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,
Simplify this walkway area equation.

* MISTAKE IDENTIFIED HERE - Incorrect Sign
------------~~Solve this for the width of pool, x, and evaluate length of pool.~~

--

Answer by MathTherapy(10552)   (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:
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(52779)   (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,

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

Area of just the area of the walkway,
Simplify this walkway area equation.

= 176
16x + 48 - 8x = 176,
8x = 176 - 48,
8x = 128 ---> x = = 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.

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