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.

Draw a line parallel to the 13 m side from the end of the 10 m side to the 25 m side, creating a parallelogram with sides 10 m and 13 m and a remaining triangle with sides 13 m, 15 m, and 14 m. The semi-perimeter of the triangle is (13 plus 15 plus 14) divided by 2, equaling 21 m. Using Heron's formula, the triangle's area is the square root of (21 times 8 times 6 times 7), equaling 84 sq m, and adding the parallelogram area of 10 times 13 equals 130 sq m results in a total field area of 196 sq m.

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