SOLUTION: find the dimension and maximum area of a rectangle if its perimeter is 36m.
Algebra.Com
Question 900801: find the dimension and maximum area of a rectangle if its perimeter is 36m.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let L and W be the length and width of the rectangle.
The perimeter is,
So,
The area of the rectangle is,
From the perimeter,
Substitute,
To find the extremum, set the derivative of A equal to zero.
So then,
The maximum area for a given perimeter is actually a square.
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