A rectangle is to be constructed with a fixed perimeter
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A rectangle is to be constructed with a fixed perimeter P. Which of the following conditions on its side lengths must be satisfied in order for the rectangle to have the greatest possible area?
(a) Its length must be twice its width.
(b) Each side must be 2P.
(c) The rectangle must be a square, so each side is 4P.
(d) Its length must equal 2 times its width.