SOLUTION: Please help me solve this equation:
A rectangular swimming pool is 4m longer than it is wide. It is surrounded by a cement walk 1m wide. The area of the walk is 32m^2. Find t
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A rectangular swimming pool is 4m longer than it is wide. It is surrounded by a cement walk 1m wide. The area of the walk is 32m^2. Find t
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Question 249007: Please help me solve this equation:
A rectangular swimming pool is 4m longer than it is wide. It is surrounded by a cement walk 1m wide. The area of the walk is 32m^2. Find the dimensions of the pool.
Thank you! Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website! X(X+4)=POOL AREA
(X+4+2)(X+2)=POOL PLUS WALK AREA.
X(X+4)+32=(X+6)(X+2)
X^2+4X+32=X^2+6X+2X+12
X^2-X^2+4X-6X-2X=12-32
-4X=-20
X=-20/-4
X=5M. IS THE WIDTH.
5+4=9M. IS THE LENGTH.
5*9=45 M^2 IS THE POOL AREA.
PROOF:
(5+2)(9+2)=45+32
7*11=77
77=77 M^2 IS THE POOL PLUS THE WALK AREA.
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