Question

8. Mohan wants to buy a trapezium shaped field.

Answer 1

Answer:

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:

$\displaystyle A=\frac{b1+b2}{2}.h$

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:

$\displaystyle \frac{x+2x}{2}\cdot 100=10500$

Simplifying:

$\displaystyle (3x)\cdot 50=10500$

$150x=10500$

Dividing by 150:

$x = 10500 / 150 = 70$

x = 70 m

2x = 140 m

The length of the side along the river is 140 m