|Class 8 Maths Mensuration||Area of Trapezium|
Area of Trapezium
A trapezium is a quadrilateral that has only one pair of parallel sides.
Area of a trapezium = half of the sum of the lengths of parallel sides * perpendicular distance between them.
= (1/2) * (a + b) * h
Where a and b are the opposite sides of the trapezium, which are parallel and h is the perpendicular height of the trapezium.
Problem: The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.
Let the length of the other parallel side be b.
Length of one parallel side (a) = 10 am and height (h) = 4 cm
Area of trapezium = 1/2 * (a + b) * h
=> 34 = 1/2 * (10 + b) * 4
=> 34 = (10 + b) * 2
=> 10 + b = 34/2
=> 10 + b = 17
=> b = 17 – 10
=> b = 7
Hence, another required parallel side is 7 cm.