Question

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel and twice the side along the road. If the area of this field is 10500 m² and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

Answer 1

Let the length of side of trapezium shaped field along road = x meter

Length of other side of trapezium shaped field along road = 2x meter

Area of trapezium = 10500 cm²

Distance between parallel sides = 100 m

Area of trapezium = \(\frac{1}{2}\)(sum of sides) x distance between parallel sides

10500 = \(\frac{1}{2}\)(x + 2x) x 100

3x = \(\frac{10500}{50}\)

x = \(\frac{210}{3}\)

x = 70

Therefore length of side along road = 70 m

Length of side along river = 70× 2 = 140 m