Question

Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It 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

Perpendicular distance between two parallel sides = 100 m

Area of field = 10500 m²

Let the length of the side along the road = x

The length of the side along the river = 2x

Area of trapezium = 12 × (first side + second side) × perpendicular distance

10500 = `1/2` (x + 2x) × 100

10500 = 3x × 50

`x = 10500/(50×3)`

x = 70

Therefore, length of the side along the river = 2x

= 2 × 70

= 140 m