Question

write the formula for calculating the area of a trapezium.
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Answer 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

Answer 2

Answer :

• $\tiny{=} \small \: \bf\frac{1}{2} \times (a + b) \times h$

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