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.
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 m2
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 m2 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 m2 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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