the length and breadth of a field are 42m and 18 respectively find the length of the longest rod which can measure the length and breadth of the field exactly
Answers
Given:
The dimensions of the field:
length = 42 m
breadth = 18 m
To find:
The length of the longest rod which can measure the length and breadth of the field exactly
Solution:
We have to find the length of the longest rod which can measure the length and breadth of the field exactly.
So, we have to find the H.C.F. of the length and breadth i.e., 42 m and 18 m by using prime factorization method.
Finding the factors:
42 = 2 × 3 × 7
18 = 2 × 3 × 3
∴ H.C.F. of 42 and 18 = 2 × 3 = 6
Thus, the length of the longest rod which can measure the length and breadth of the field exactly is 6 m.
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