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  • 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 m^2 and the perpendicular distance between the two parallel sides is 100 m

8  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 m^{2} 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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Let the length of the side along road be x m.

Then according to question, lenght of side along river will be 2x m.

            Area \:of \:trapezium = \frac{1}{2}h(a+b)

So equation becomes :    

                         \frac{1}{2}100(x+2x) = 10500

or                              3x = 210

or                               x = 70

So the length of the side along the river is 2x = 140m.

Posted by

Devendra Khairwa

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