Question

the length of a floor is 4m44cm and the breath is 3m30cm.what is the maximam length of square tiles that cancompletely cover the floor

Answer 1

Answer:

110 cm

Step-by-step explanation:

Given:

Length of the floor

= 3m 30 cm = 330 cm

Breadth of the floor

= 4m40 cm = 440 cm

330 = 2×3×5×11

440 = 2×2 ×5×11

Their GCD is 2×5×11 = 110

Maximum length of the square tile

= The greatest number which divides both length and breadth

= GCD of 330 and 440

= 110 cm

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Answer 2

Given:-

• Length of floor = 4m44cm = 440cm
• Breadth of floor = 3m30cm = 330cm

To find:-

• What is the maximam length of square tiles that cancompletely cover the floor?

Solution:-

Largest length of square tiles = HCF of length and breadth of floor

= HCF of (440cm , 330cm)

= Common factor of 440 and 330

= 110cm

★ Hence, Largest length of square tiles is 110cm.