Question

A
4. Amit wants to buy a trapezium shaped field. Its side along a river is parallel to thrice the
side along a road. If the area of this field is 10320 m² and the
perpendicular distance between the two parallel sides is 120 m, find
the parallel sides.​

Answer 1

Answer:

140m.

Step-by-step explanation:

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.