The length of a floor is 4 m 44 cm and the breadth is 3 m 30 cm. What is the maximum length of square tiles that can completely cover the floor?
Answers
Answered by
6
Solution:
Length of floor = 4 m 44 cm = [ (4 * 100) + 44 ] cm = 444 cm
Breadth of floor = 3 m 30 cm = [ (3 * 100) + 30 ] cm = 330 cm
GCD(Greatest Common Divisor) means to take out the highest common divisor of two positive integers.
Now, we will take Greatest Common Divisor of both numbers,
444 = 2 * 2 * 3 * 37
330 = 2 * 3 * 5 * 11
GCD of 444 and 330 = 2 * 3 = 6
We took those factors which were common in both and multiplied.
Maximum Length of the square tile =>
Greatest number which divides both length and breadth of floor i.e. GCD of 444 and 330
Maximum Length of the square tile => 6 cm
The maximum length of square tiles that can completely cover the floor is 6 cm.
Answered by
0
Answer:
&6& hai "5_4"4-(8
Step-by-step explanation:
!)99(+7
Similar questions
Hindi,
3 hours ago
Math,
3 hours ago
Accountancy,
5 hours ago
Psychology,
7 months ago
English,
7 months ago