**A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m. The non-parallel sides are 14 m and 13 m. Find the area of the field.**

**Solution:**

ABCD is a trapezium. Non-parallel sides are 14 m and 13 m. Parallel sides are 25 m and 10 m.

**Construction: **From point C draw completing parallelogram AECD. Also, draw .

Now, we have **AE=CD=10 m **and** AD=CE=14 m** because AECD is a parallelogram.

So, BE=AB-AE=25-10=**15 m**

Semi-perimeter of **m**

Using **Heron's formula, **Area of

** (1)**

Area of BE

**m**

Area of parallelogram AECD ** (2)**

Adding **(1)** and **(2)**, we get

**Area of trapezium ABCD=Area of +Area of parallelogram AECD **