☞Mohan wants to buy a trapezium shaped field. Is side along the river is parallel to twice the side along the road. If the area of this field is 10,500m^2 and the perpendicular distance between the two parallel sides is 100m, gin n nd the length of the side along the river.
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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. Thus, the length of the field riverside = 140 m.
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Let a=x and b=2x and h=100m
Then, its area.
=21(a+b)×hm2
=21(x+2x)×100m2
=50×3xm2=150xm2
But it is given that the area of the field is 10500m2
∴150x=10500
⇒x=15010500=70
∴ The length of the side along the river is 2×70, i.e., 140m.
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