For a rectangle whose perimeter is fixed and positive
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For a rectangle whose perimeter P is fixed and positive, which of the following best describes how its area depends on the side lengths?
(a) The area can be made arbitrarily large by making one side very long and the other very short.
(b) The area is constant for any rectangle with the given perimeter.
(c) The area is maximized when the rectangle is a square.
(d) The area is maximized when one side is exactly twice the length of the other.