A room is 10 m 5 cm long and 20 m 30 cm broad the floor of the eoom is to be paved with square tiles.find the length of larfest tile that can be used
Answers
Given:
The dimensions of the floor of the room:
length = 10 m 5 cm = (1000 + 5) cm = 1005 cm
breadth = 20 m 30 cm = (2000 + 30) cm = 2030 cm
To find:
The length of largest tile that can be used
Solution:
We can find the length of the largest tile that can be used for paving the floor of the rectangular room, by finding the H.C.F. of the given measurements of the sides.
Now, we will find the H.C.F. of 1005 and 2030 by long division method
1005 ) 2030 ( 2
2010
----------------
20 ) 1005 ( 50
1000
-------------------
5 ) 20 ( 4
20
-----------------
X
-------------------
The last divisor i.e., 5 which gives the remainder as 0 will be the Highest Common Factor [i.e., H.C.F]
∴ H.C.F. of 1005 and 2030 = 5
Thus, the length of the largest square tile that can be used is 5 cm.
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