The parallel sides of a trapezium are 25 cm and 11 cm while its non-parallel sides are 15 cm and 13 cm. Find the area of the trapezium.

Given AB = 11 cm, DE = 11 cm, AD = 15 cm, BC = 13cm, EC = 14 cm

Line BE is drawn such that BE is parallel to AD and ABED is a parallelogram.

Now the figure is divided into two parts, one is a parallelogram and other is a triangle.

Finding the area of triangle BEC

where, a, b, c are the sides of the triangle

In triangle, BCE let a = 15, b = 14, c = 13

Now calculating area, using the above-stated formula and substituting the values

Area of a triangle is also given by,

Height = 12 cm

Now the area of parallelogram = L × H

Substituting the value of L and H we have

12 × 11 = 132 cm²

Therefore,

Area of trapezium = Area of || gm + Area of Triangle

Total area = 84 + 132 = 216 cm²