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 10500 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 :

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

Answer:

Correct option is A)

Let the parallel slides of the trapezium shaped field be xmand2xm

Step-by-step explanation:

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

Then its area

= (a+b)xhm

2. 2

= (x+2x) x 100m

2. 2

= 50 x 3xm = 150xm

2. 2

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

.•.150x= 10500

➡x= =70

10500

.•. The Length of the side along the river is 2x70,i.e., 140m