SOLUTION: The length of a rectangle is x mm while its width(x-100).find the dimensions of the rectangle giving maximum area

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Question 1029811: The length of a rectangle is x mm while its width(x-100).find the dimensions of the rectangle giving maximum area
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=x%28100-x%29
A=100x-x%5E2
Convert to vertex form to find extrema.
A=-x%5E2%2B100x
A=-%28x%5E2-100x%2B2500%29%2B2500
A=-%28x-50%29%5E2%2B2500
The maximum occurs at x=50 and is equal to 2500.
So the dimensions of the rectangle are 50x50.