NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 31

Question. 31

Bajinder runs ten times around a square track and covers 4 km. Find the length of the track.

Answer:

Side of the square track = 100 m

Detailed Answer with Explanation:

Step 1: Convert kilometres to metres.
4 km = 4000 m.

Step 2: Find the distance of one round.
He runs 10 rounds to cover 4000 m.
So, distance of one round = ( dfrac{4000 ext{m}}{10} ) = ( 400 ext{m} ).

Step 3: Relate one round to the square’s perimeter.
One full round around the square = Perimeter of the square.
Perimeter ( P = 4 imes ext{side} ).

Step 4: Form the equation and solve for the side.
( 4 imes ext{side} = 400 ext{m} )
( ext{side} = dfrac{400}{4} )
( ext{side} = 100 ext{m} ).

Answer: The length of each side of the square track is 100 m.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 6: Mensuration – Problems and Solutions | Detailed Answers