SOLUTION: The area (A) of a rectangle is length (l) times its width (w). Express the area of the rectangle as a function of its width if the perimeter is 2 meters.

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Question 1184318: The area (A) of a rectangle is length (l) times its width (w). Express the area of the rectangle as a function of its width if the perimeter is 2 meters.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A=l%2Aw
if the perimeter is 2 meters, we have
2=2l%2B2w...........solve for l
2-2w=2l....simplify
1-w=l
substitute in
A=l%2Aw
A=%281-w%29%2Aw
A=w-w%5E2