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.
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
Area of BE
Area of parallelogram AECD (2)
Adding (1) and (2), we get
Area of trapezium ABCD=Area of +Area of parallelogram AECD