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.

Given: Perpendicular distance (h) = 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)x7
⇒ 10500 = 1/2 (x+2x)x100 ⇒ 10500=3×50
⇒ 3x=10500/50 ⇒ x=10500/50×3 ⇒ x=70m
Hence, the side along the river = 2x = 2 x 70 = 140 m.

Class 8 Maths Chapter 11 Exercise 11.2 Solution in Video

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