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BECE Mathematics 2022 Objective — Question 49

Question 49 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 linear scale factor of two similar shapes is 2:5. If the area of the smaller shape is 120 cm², what is the area of the bigger shape?

  • A. 240cm²
  • B. 480cm²
  • C. 500cm²
  • D. 600cm²
  • E. 750cm²Correct

Explanation

Area scale factor = 2² : 5² = 4 : 25. Bigger area = 120 × 25/4 = 750 cm².

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