SOLUTION: the perimeter of a rectangle is 100 m.Express the area of the rectangle in terms of the width c.

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Question 1185449: the perimeter of a rectangle is 100 m.Express the area of the rectangle in terms of the width c.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

W = width, L = length, P = perimeter, A = area
+P+=+100+=+2L+%2B+2W+
Solve for L:
+L+=+%28100+-+2W%29%2F2+=+50-W+
Write Area formula and subs for L from above:
+A+=+L%2AW+=+%2850-W%29%2AW+ m%5E2
or you can write +A+=+50W-W%5E2+ m%5E2