The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.

In ΔCEF

CE = 10 cm and EF = 6cm

Using pythagorous theorem:

CE² = CF² + EF²

CF² = CE² - EF²

CF² = 10² - 6²

CF² = 100-36

CF² = 64

CF = 8 cm

Area of trapezium = area of parallelogram AECD + area of area of triangle CEF

Area of trapezium =

Area of trapezium =

Area of trapezium = 104 + 48 = 152 cm²