# 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.

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.

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