# 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 m^{2 }and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river.

**Solution:**

As the field is in trapezium shape, we will use the formula to find the area of trapezium

Let the side DC of the roadside (b₁ of trapezium) be x cm

The opposite parallel side AB (b₂ of trapezium) = 2x m

h = 100 m (given)

Area of the field = 10500 m^{2}

Area of trapezium = 1/2 (b₁ + b₂) × h

10500 = 1/2 (2x + x) × 100

2 × 10500 = 3x × 100

21000 = 300x

x = DC = 70 m

So, AB = 2x = 2 × 70 = 140 m

Thus, the length of the field riverside = 140 m.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 11

**Video Solution:**

## 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 m^{2 }and the perpendicular distance between the two parallel sides is 100 m, find the length of the side along the river

Maths NCERT Solutions Class 8 Chapter 11 Exercise 11.2 Question 8

**Summary:**

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 m^{2 }and the perpendicular distance between the two parallel sides is 100 m, the length of the side along the river is 140 m.

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