Question

Mohan wants to buy a trapezium shaped field. Its side along the road. If the area of this field is 22500m2 and the perpendicular distance between the parallel side is 150m. Find the length of side along the river.​

Answer 1

Answer:

Solution

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Correct option is A)

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:

$\huge\underbrace\red{Answer}$

Let the parallel sides of the trapezium-shaped field be 'x' and '2x'm

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

then its area

= 1/2 (a+b) × h m²

= 1/2 (x+2x) × 100m²

= 50 ×3x m² = 150x m²

But it is given that the area of the field is 10500m²