Math, asked by rishab65, 9 months ago

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 banasree2005
2

Answer:150m

Step-by-step explanation: length=25m

Width=30m

The longest rope= H.C.F of 25m,30m

= 150m

Answered by 23saurabhkumar
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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