SOLUTION: The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What are its dimensions?

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Question 1030850: The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What are its dimensions?
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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The perimeter of a rectangular pool is 32 meters, and it's area is 48 square meters, What are its dimensions?
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Answer. 12 m and 4 m.


Solution


Let L be the length and W be the width, in meters.

Then

L + W =  = 16,   (1)   and
L*W   = 48.         (2)

From (1), express W = 16 - L and substitute it into (2). You will get

L*(16-L) = 48,   or

 = ,

 = .

Factor left side

(L-4)*(L-12) = 0.

The roots are 4 and 12.

Only L = 12 satisfies the condition.


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