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

Question

Philoid · Accepted Answer

Given: Perpendicular distance

= 100 m

Area of the trapezium shaped field

= 10500 m²

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

Area of the trapezium field

= 1/2 (a+b)h

⇒ 10500 = = 1/2 (x + 2x) × 100

⇒x = 70m

Hence the side along the river =

= 2 × 70 = 140 m.