width and length of the floor is 25 metre and 30 metre respectively find out the length of the longest rope which can be used to measure Length and width of the room exactly
Answers
Answered by
2
Answer:150m
Step-by-step explanation: length=25m
Width=30m
The longest rope= H.C.F of 25m,30m
= 150m
Answered by
2
Answer:
150 m
Step-by-step explanation:
In the question,
Width of the floor = 25 m
Length of the floor = 30 m
So, to find out the length of the longest rope which is capable of measuring the length and width of the room both we have to find out the LCM (Lowest Common Multiple) of these two numbers.
So,
LCM of 25 and 30 can be found out as,
25 = 5 x 5
30 = 2 x 3 x 5
So,
LCM = 2 x 3 x 5 x 5 = 150
Therefore, the minimum length of the rope that is required to measure the dimensions of the room would be 150 m.
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