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 10500m2 and the perpendicular distance between the two parallel sides is 100m, find the length of the side along the river.
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Answer:
Area of trapezium field = 10500m2
perpendicular distance = 100
A = 1/2(sum of IIside) x distance
10500=1/2xsidex100
sides=21000/100=210
length of both side =210
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Let the length of the field along the road be l m. Hence, the length of the field along the river will be 2l m.
Area of trapezium = 1/2(Sum of parallel sides) (Distance between the parallel sides)
10500m*2= 1/2(l+2l)(100m)
105m=3l/2
l=70m
Thus, length of the field along the river = (2 × 70) m = 140 m
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