Question

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 10,500 m² and the perpendicular distance between the two parallel sides is 100 m, find the length of the
side along the river.​

Answer 1

Answer:

Let the parallel sides of the trapezium-shaped field be

′

x

′

mand

′

2x

′

m.

Let a=x and b=2x and h=100m

Then, its area.

=

2

1

(a+b)×hm

2

=

2

1

(x+2x)×100m

2

=50×3xm

2

=150xm

2

But it is given that the area of the field is 10500m

2

∴150x=10500

⇒x=

150

10500

=70

∴ The length of the side along the river is 2×70, i.e., 140m.

Answer 2

Refer To Attachment Above ⬆️

Hope It Helps You!