• Math

  Mensuration

  Posted by Supratik on June 25, 2023 at 11:30 am

  The area of a trapezium shaped field is 480 m<sup style=””>2</sup>, the distance between two parallel sides is 15 m and one of the parallel sides is 20 m. Find the other parallel side.

  Aryan Gupta replied 1 year, 10 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Aryan Gupta

  Member

  June 25, 2023 at 5:02 pm

  Let the other parallel side be x m

  The given Information is as follows:

  Distance between two parallel sides = 15 m

  Area of trapezium = 480 m^2

  Now, we know that the Area of the Trapezium = 1/2 × (Sum Of Parallel Sides of Trapezium) × (Distance between Parallel Sides of Trapezium)

  480 = 1/2 × (20 + x) × 15

  Thus, (480 × 2)/15 = 20 + x

  960/15 = 20 + x

  Therefore, x = 64-20 = 44 m

  Hence, the length of the other parallel side is 44 m

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