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)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Let the rectangle be a square of sides p/4.
So that perimeter of square = 4p
4 x (p/4) = p.
Source: Myschool Past Questions Archive (Record #2577)