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WAEC Further Mathematics 2008 Question 12

Question 12

Differentiation

A rectangle has a perimeter of 24m, if its area is to be a maximum, find its dimension.

  1. A.12, 12
  2. B.6, 6
  3. C.4, 8
  4. D.9, 3
Show the answer and explanation

Answer: B (6, 6)

Explanation

L + B = 12, so A = L(12 − L). dA/dL = 12 − 2L = 0 gives L = 6 and B = 6.