Question 1121334: what is the largest possible area of a rectangular with perimeter 10? Found 2 solutions by math_helper, solver91311:Answer by math_helper(2461) (Show Source):
Proof (using Calculus):
Let x = length
Then w = width = (10 - 2x) / 2
Area, A, is
5-2x = 0 —> x = 5/2 = 2.5
Since the curve is concave down so the value is a maximum.
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Without Calculus, you can graph the function and compute values by hand.