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

Mathematics
JAMB 2001
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)
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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.

There is an explanation video available below.

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Explanation Video

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