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 m² and the perpendicular distance
between the two parallel sides is 100 m, find the
length of the side along the river.
Top surface of a raised platform is in the shape
ofthe octagonalourfa

The length of the side along the river is 140 m

Step-by-step explanation:

Equations

To solve the problem, we need to recall the area of a trapezium is:

Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.

The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.

Knowing the height is h=100 m, and the area is 10500 m2:

Simplifying:

Dividing by 150:

x = 70 m

2x = 140 m

The length of the side along the river is 140 m