A room is 10 m 5cm long by 20m 30cm broad. the floor of the room is to be paved with square tiles. find the length of the largest tile that can be used.
Answers
Given:
Length of the room = 10 m 5 cm
Breadth of the room = 20 m 30 cm
To Find:
The length of the largest tile that can be used
Solution:
Converting m to cm:
=> 10 m 5 cm
=> 1 meter is 100 centimeters.
=> 10 x 100 = 1000
=> 1000 + 5
=> 1005 cm
20 m 30 cm
=> 1 meter is 100 centimeters.
=> 20 x 100 = 2000
=> 2000 + 30
=> 2030 cm
Finding the HCF of 2030 and 1005 in order to find the length of the largest tile that can be used in rectangular room:
1005 ) 2030 ( 2
2010
__________
20 ) 1005 ( 50
1000
___________
5 ) 20 ( 4
20
__________
0
___________
HCF of 1005 and 2030 is 5.
Hence, the length of the largest square tile that can be used is 5 cm.
Answer:-
the sides of the rectangular room is actually
10m 5cm = 10.05 m
20m 30cm = 20.3 m
so now the area = l * b
= 10.05 * 20.3
= 204.015 cm^2
now the largest square tile that can be used will be
10.05 cm with its side