NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - True or False Questions
Question 17

Question. 17

A farmer who wants to fence his field, must find the perimeter of the field.

Answer:

true

Detailed Answer with Explanation:

Why the statement is True:

  1. What is fencing? Fencing means putting a boundary (like wire or wood) all around the field.
  2. What is perimeter? The perimeter is the total length of the outer boundary of a shape.
  3. Why do we need perimeter for fencing? To buy the right amount of fence, the farmer must know how long the boundary is. That length is the perimeter.
  4. Simple example (rectangle field):
    • Let the length be ( ext{L} ) metres.
    • Let the breadth be ( ext{B} ) metres.
    • Perimeter of a rectangle:
      ( ext{Perimeter} = ext{L} + ext{B} + ext{L} + ext{B} )
      ( = 2 ext{L} + 2 ext{B} )
      ( = 2( ext{L} + ext{B}) )
  5. Conclusion: Since fencing goes all around the field, the farmer must find the perimeter to know how much fencing material to buy. So, the statement is true.
Open NCERT PDF