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):
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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.
