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BECE Mathematics 2022 Objective — Question 101

Question 101 of 120 from the Basic Education Certificate Examination (Junior WAEC) (BECE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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The area of a rectangle varies directly as the square of its length. If the length is 2cm when the area is 12cm², find the area when the length in 3cm.

  • A. 81cm²
  • B. 27 cm²Correct
  • C. 21cm²
  • D. 15cm²
  • E. 9cm²

Explanation

A = kL². 12 = k × 4, so k = 3. When L = 3, A = 3 × 9 = 27 cm².

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