passpadi

2001

Mathematics

JAMB

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: square of sides (p/4)

Explanation

Let the rectangle be a square of sides p/4. So that perimeter of square = 4p 4 x (p/4) = p.

Let the rectangle be a square of sides p/4. So that perimeter of square = 4p 4 x (p/4) = p.
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