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