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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)

Magyarázat

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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