Find the area of a trapezium whose parallel sides are 34cm, 20cm, and another sides are 13cm and 15cm.
ABCD is a trapezium.
AB = 34 cm, BC = 15 cm, CD = 20 cm and AD = 13 cm.
Draw CE || AD and CF ⊥ AB.
In quadrilateral AECD,
AE || CD and AD || CE
∴ Quadrilateral AECD is a parallelogram.
AE = CD = 20 cm (Opposite sides of parallelogram are equal)
and AD = CE = 13 cm (Opposite sides of parallelogram are equal)
BE = AB – AE = 34 cm – 20 cm = 14 cm
CE = 13 cm, BE = 14 cm and BC = 15 cm.
Area of ΔBCE = 84 cm2
Area of trapezium
Thus, the area of trapezium is 324 cm2.