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..
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Given:
Perpendicular distance (h) = 100 m
Area of the trapezium shaped field = 10500 m²
Solution:
Let side along the road be ‘x’ m and side along the river = 2x m
Formula:
Area of the trapezium field = (½)×(a+b)×h
- 10500 = (½)×(x+2x)×100
- 10500 = 3x×50
After simplifying, we have x = 70, which means side along the river is 70 m
Hence, the side along the river,
= 2x = 2( 70)
= 140 m Ans
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