Question

The floor of a hall measuring 16 meters in length and 12 meters in width is to be paved with square tiles. If the least number of tiles are to be used, then what is the length of each square tile?
1. 12 meters
2. 4 meters
3. 24 meters
4. 48 meters

Answer 1

Correct Answer - Option 2 : 4 meters

Given:

Length of hall = 16 m

Breadth of hall = 12 m

Formula used:

Area of rectangle = length × breadth

Calculation:

Area of hall = (16 × 12) m²

⇒ 192 m²

Now, 

LCM of 16 and 12 is 48

According to the question

Length of each square tile = (192/48) m

⇒ 4 m

∴ Required length is 4 meters