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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 $10500 \mathrm{~m}^2$ 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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best_answer

Let the length of the side along the road be $x$ m.

Then according to the question, the length of the side along the river will be $2x$ m.

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

So the equation becomes :    

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

 $3x=210$

 $x=70$

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

Posted by

Devendra Khairwa

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