Mohan wants to buy a trapezium shaped field. Its side along the river

1.	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 theside along the river.
Answer» 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.

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 theside along the river.

Answer»

Let the parallel sides of the trapezium-shaped field be

′

′

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

Then, its AREA.

(a+b)×hm

(x+2x)×100m

=50×3xm

=150xm

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

∴150x=10500

⇒x=

150

10500

=70

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