Question

.the length of a rectangular field is twice its breath. A man takes 5rounds of it and covers a distance of 3 km. What is the length of rectangle?

Answer 1

Answer:

Length = 200 m

Step-by-step explanation:

Let the breadth of the field be 'x'.

This implies that, length is twice of breadth which is 2x

Man takes 5 rounds around the field and covers 3 km.

So Distance covered in one round = Perimeter of field.

⇒ Perimeter of rectangle = 2 ( l + b )

⇒ 2 ( 2x + x )

⇒ 2 ( 3x ) = 6x

Hence distance covered in 1 round is 6x meters.

Then distance covered in 5 rounds will be 6x × 5 = 30x meters

We are given that 30x meters = 3000 m

⇒ x meters = 3000 m / 30 m

⇒ x meters = 100 meters

Hence the breadth of the rectangle field is 100 m.

Length = 2x = 2 × 100m = 200 m

Hence length of the field is 200 m

Answer 2

Let the breadth of the field be 'p'.

Length is twice of breadth = 2p

Man takes 5 rounds around the field and covers 3 km.

Hence :-

Distance covered in one round = Perimeter of field.

⇒ Perimeter of rectangle = 2 ( l + b )

⇒ 2 ( 2p + p )

⇒ 2 ( 3p )

= 6p

Distance covered in 1 round = 6p m

Distance covered in 5 rounds

= 6p × 5

= 30p m

Given

30p m = 3000 m

⇒ p meters = $\frac{3000 m}{30m}$

⇒ p meters = 100 meters

Since

Breadth of the rectangle field = 100 m.

Length = 2p

=> 2 × 100m = 200 m

Length of the field = 200