SOLUTION: what is the largest possible area of a rectangular with perimeter 10?
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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): You can put this solution on YOUR website!
It would be a square, so each side is 10/4 = 2.5, thus the area is sq units
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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.
—————
Without Calculus, you can graph the function and compute values by hand.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You can also solve it algebraically by using the fact that the vertex of a parabola expressed as \ =\ ax^2\ +\ bx\ +\ c)
is located at the point \))
.
John
My calculator said it, I believe it, that settles it
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