JAMB - Mathematics (2001 - No. 30)
Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
square of sides p
square of sides 2p
square of sides (p/2)
square of sides (p/4)
Explication
Let the rectangle be a square of sides p/4.
So that perimeter of square = 4p
4 x (p/4) = p.
So that perimeter of square = 4p
4 x (p/4) = p.