Question

A farmer walks around his paddy field which is rectangle shaped with
dimensions 60m X 40m. Calculate the distance travelled by the farmer and
his displacement when he completes two rounds. (1)

Answer 1

Answer:

Distance = 400 m

Displacement = 0

Explanation:

As per the provided information in the given question, we have :

• A farmer walks around his paddy field which is rectangle shaped with dimensions 60m x 40m.
• He takes 2 rounds.

$\rm 40 \: m \: \huge\boxed{\begin{array}{cc} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \rm 60 \: m$

We are asked to calculate the distance travelled by the farmer and his displacement when he completes two rounds.

Finding distance travelled :

Distance is defined as the total length of the path covered by the body. It is a scalar quantity and its SI unit is metre.

Since, he took 2 rounds that means he covers the 2 times the perimeter of the field. Therefore,

⇒ Distance = 2 × Perimeter

• Perimeter of the rectangle is length times breadth.

⇒ Distance = 2 × {2(l + b)}

⇒ Distance = 2 × {2(60 m + 40 m)}

⇒ Distance = 2 × 2(100 m)

⇒ Distance = 2 × 200 m

⇒ Distance = 400 m

∴ Distance covered by him is 400 m.

$\rule{200}2$

Calculating displacement :

Displacement is the shortest distance from initial position to the final position of the body. The shortest distance from initial position to the final position of the body is always a straight line. It is a vector quantity and its SI unit is metre.

Here, the body came back to its initial position after covering certain distance. Whenever the body comes back to its initial position after covering certain distance, then its displacement is 0.

⇒ Displacement = 0

∴ Displacement of the farmer is 0.