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      Question

      Find the distance between the parallel sides of a trapezium

      whose area is 315 cm² and the lengths of the parallel sides are 15 cm and 21 cm respectively.
      A 17.5 cm Correct Answer Incorrect Answer
      B 22.5 cm Correct Answer Incorrect Answer
      C 28.5 cm Correct Answer Incorrect Answer
      D 12.5 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the distance between parallel sides of trapezium be 'd' cm.

      Area of trapezium = (1/2) × (sum of parallel sides) × (distance between parallel sides)

      So, (1/2) × (15 + 21) × d = 315

      Or, (1/2) × 36 × d = 315

      Or, 18 × d = 315

      Or, distance between parallel sides = 315 ÷ 18 = 17.5 cm

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