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GCE Mathematics 2022 Objective — Question 41

Question 41 of 50 from the General Certificate of Education (GCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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The lengths of the parallel sides of a trapezium are 9cm and 12cm. If the area of the trapezium is 105cm^2, find the perpendicular distance between the parallel sides.

  • A. 5cm
  • B. 7cm
  • C. 10cmCorrect
  • D. 15cm

Explanation

Area = (1/2)(a+b)h: 105 = (1/2)(9+12)h = 10.5h, so h = 105/10.5 = 10cm.

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