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Question
Mohan wants to buy a trapezium shaped field. Its side along the river is parallel to and twice the side along the road. It 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.
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Solution
Perpendicular distance between two parallel sides = 100 m
Area of field = 10500 m2
Let the length of the side along the road = x
The length of the side along the river = 2x
Area of trapezium = 12 × (first side + second side) × perpendicular distance
10500 = `1/2` (x + 2x) × 100
10500 = 3x × 50
`x = 10500/(50×3)`
x = 70
Therefore, length of the side along the river = 2x
= 2 × 70
= 140 m
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