NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 6: Mensuration - Problems and Solutions
Question 26

Question. 26

Tahir measured the distance around a square field as 200 rods (lathi). Later he found that the length of this rod was 140 cm. Find the side of this field in metres.

Answer:

Side of the field = 70 m

Detailed Answer with Explanation:

Step 1: Understand what was measured
Tahir went around the square field and measured the perimeter (the total distance around the boundary). He counted it as 200 rods.

Step 2: Convert rods to centimetres
Given: 1 rod = 140 cm.
So, perimeter in cm = (200 imes 140) cm.
First multiply the numbers:
(200 imes 140 = 28{,}000).
Therefore, perimeter = 28,000 cm.

Step 3: Convert centimetres to metres
We know (100) cm = (1) m.
So, (28{,}000) cm = (28{,}000 div 100 = 280) m.
Therefore, perimeter = 280 m.

Step 4: Use the square perimeter formula
For a square: perimeter (= 4 imes) side.
That means side (=) perimeter ( div 4).
So, side (= 280 div 4 = 70) m.

Answer: The side of the field is 70 m.

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