In Fig. 20.38, a parallelogram is drawn in a trapezium, the area of the parallelogram is 80 cm², find the area of the trapezium.

Question

In Fig. 20.38, a parallelogram is drawn in a trapezium, the area of the parallelogram is 80 cm 2 , find the area of the trapezium.

Philoid · Accepted Answer

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 parallelogram = 80 cm²

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

Area of trapezium =

Area of trapezium = 80 + 48 = 128 cm²