SOLUTION: A rectangle has an area of 12 m2. Find a function that models its perimeter P in terms of the length of one of its sides x.

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Question 261985: A rectangle has an area of 12 m2. Find a function that models its perimeter P in terms of the length of one of its sides x.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter formula is
(i) P+=+2L+%2B+2W
since one side is x, we get
(ii) P+=+2x+%2B+2W
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Now area = (1/2)LW = 12, but we have let L = x, so
(iii) xW+=+24
solving for W, we get
(iv) W+=+24%2Fx
By substitution of (iv) into (ii) , we get
(v) P=2x+%2B+48%2Fx