write the formula for calculating the area of a trapezium.
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2 thoughts on “write the formula for calculating the area of a trapezium.<br />​”

1. Answer:

   A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them .

   1/2 x sum of parallel sides x height

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2. Answer :

   • [tex] \tiny{=} \small \: \bf\frac{1}{2} \times (a + b) \times h[/tex]

   Explanation :

   • Trapezium = ½ ( Sum of the parallel sides ) × ( Perpendicular distance between parallel sides ).

   • = ½ × ( a + b ) × h

   Diagram :

   [ In above attachment ]

   • ½ of trapezium × [ side ( a ) + side ( b ) ] × height ( h ).

   Example :

   Question :

   • The area of a trapezium is 200 sq. m. The smaller of the two parallel sides is of length 20 m. and the perpendicular distance between them is 8 m. Find the length of the other parallel side.

   Answer :

   • 30 m

   Given :

   • Area of trapezium = 200 sq.m
   • Smaller parrallel side = 20 m
   • Perpendicular distance = 8 m

   To Find :

   • Find the length of the other parrallel side ?

   Solution :

   Let the length of other parallel side =b

   Heigth (h) = 8 m

   Area of the trapezium = 200 sq. m

   Therefore, ½ × (a + b) × h = 200

   • ½ × (20 + b) × 8 = 200
   • 4 × (20 + b) = 200
   • 20 + b = 50
   • b= 50 – 20
   • b = 30

   • Therefore, length of the other side

   • = 30 m

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