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JAMB Mathematics 1983 Question 39

Question 39

Mensuration of Plane Shapes

On a square paper of length 2.524375cm is inscribed square diagram of length 0.524375cm. Find the area of the paper not covered by the diagram correct to 3 significant figures.

  1. A.6.00cm2
  2. B.6.10cm2
  3. C.6cm2
  4. D.6.09cm2
  5. E.4.00cm2.
Show the answer and explanation

Answer: B (6.10cm2)

Explanation

Area not covered = 2.524375² − 0.524375² = (2.524375 + 0.524375)(2.524375 − 0.524375) = 3.04875 × 2 = 6.0975 ≈ 6.10cm².