Question

a field in the shape of trapezium . one of its parallel side is twice the other parrallel side and distance between them is 100m .if the area of field is 10500m² find the length of parrallel sides​

Answer 1

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.

Answer 2

Answer:

parallel sides=70m and 140m

Step-by-step explanation:

1/2 (a+b) h = Area of trapezium

Let the parallel sides of trapezium be x and 2x

therefore;

1/2(x+2x)100=10500

3x=10500/100× 2

x=210/3

x=70

therefore parallel sides = x= 70

2x= 2×70=140