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Question

How can we calculate the area of the trapezium?


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Solution

Calculate the area of the trapezium :

A trapezium is a quadrilateral, having one set of parallel sides.

Some unique properties of a trapezium for the calculation of its area are,

  1. The sum of all the four angles of the trapezium is equal to 360°
  2. In a trapezium, the length of the mid-segment is equal to half the sum of the parallel bases.
  3. In a two-dimensional plane, the trapezium area is the region occupied by a trapezium

So, the area of the trapezium can be calculated as,

Area (A) =12×Distance between parallel lines ×Sum of parallel sides

Hence, Area (A) of a trapezium =12×h×(b1+b2)


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