SOLUTION: You have 700 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x.

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Question 266668: You have 700 feet of fencing to enclose a rectangular field. Express the area of the field, A, as a function of one of its dimensions, x.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
The perimeter is expressed as
(i) P+=+2x+%2B+2y
or
(ii) 700+=+2x+%2B+2y
dividing by 2 we get
(iii) 350+=+x+%2B+y
solve for y as
(iv) y+=+350+-+x
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area formula is
(v) A+=+xy
substituting (iv) into (v) we get
(vi) A+=+x%28350-x%29