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Question

Sohan wants to buy a trapezium shaped field. Its sides along the river is parallel to and twice the sides along the road. If the area of this field is 10500 sq metre and the perpendicular distance between the two parallel sides is 100 m , find the length of the side along the river.
463583_9184781e74484b36aaac9a9fa25431ed.png

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Solution

Let the length of the sides of the field along the road be xm.
Then, length of its sides along the river =2x m.
Distance between them =100 m.

Area of trapezium =12×Sum of parallel sides×Distance between them.

10500=2x+x2×100
105=3×x2

Road side x=70m

River side=2×Road side =2x=2×70=140m

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