Question

14. 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

Given:

Perpendicular distance (h) = 100 m

Area of the trapezium shaped field = 10500 m²

Solution:

Let side along the road be ‘x’ m and side along the river = 2x m

Formula:

Area of the trapezium field = (½)×(a+b)×h

10500 = (½)×(x+2x)×100

10500 = 3x×50

After simplifying, we have x = 70, which means side along the river is 70 m

Hence, the side along the river,

= 2x = 2( 70)

= 140 m Ans