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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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789