Class 8 Maths Mensuration Area of Trapezium

Area of Trapezium

A trapezium is a quadrilateral that has only one pair of parallel sides.

         Class_8_Maths_Mensuartion_Trapezium                                                              

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.

Solution:

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.

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