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Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.

Find the dimensions of a rectangle of greatest area which has a fixed perimeter p.
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • 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.

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