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      Question

      The ratio of the sum of the

      parallel sides of a trapezium to its height is 4:5, and its area is 360 m┬▓. If the length of a rectangle is equal to the height of the trapezium, and the breadth of the rectangle is 15 m greater than the height of the trapezium, what is the area of the rectangle?
      A 1300 m┬▓ Correct Answer Incorrect Answer
      B 1150 m┬▓ Correct Answer Incorrect Answer
      C 1350 m┬▓ Correct Answer Incorrect Answer
      D 1652 m┬▓ Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, let the sum of the parallel sides of a trapezium to its height can be '4a' and '5a' respectively. 1/2 ├Ч 4a ├Ч 5a = 360 a = 36 a = 6 Height of the trapezium = 5├Ч6 = 30m Length of the rectangle = 30m Breadth of the rectangle = 15+30 = 45m Area of the rectangle = 30├Ч45 = 1350m2

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