Multiple choice

If form a wire of length $36 $ metre, a rectangle of greatest area is made, then find its two adjacent sides in metre.

  1. $9$ & $9$
  2. $8$ & $10$
  3. $6$ & $12$
  4. $3$ & $15$
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A Correct answer
Explanation

A rectangle with fixed perimeter has greatest area when it is a square. With perimeter 36 m, each side is 36/4 = 9 m.

AI explanation

For a fixed perimeter, a rectangle has its greatest area when it is a square. Using the perimeter formula, 2 times length plus 2 times width equals 36, so length plus width equals 18. To make the area a maximum, both adjacent sides must be 9 metres.

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