Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
-
A.
square of sides p -
B.
square of sides 2p -
C.
square of sides (p/2) -
D.
square of sides (p/4)
Correct Answer: Option D
Explanation
Let the rectangle be a square of sides p/4.
So that perimeter of square = 4p
4 x (p/4) = p.