Question

room 2.2m long and 3.3m broad is to be paved with square tiles. the least number of square tiles required to cover the floor is?​

Answer 1

The least number of square tiles required to cover the floor is 6

Given:

• A room 2.2m long and 3.3m broad is to be paved with square tiles

To Find:

• The least number of square tiles required to cover the floor

Solution:

• To Find largest size of square tile need to find HCF of Length and breadth
• Area of rectangle = length x breadth
• Area of a square = (side)²

Step 1:

Find HCF of 2.2 and 3.3

2.2 = 2 x 1.1

3.3 = 3 x 1.1

Hence HCF = 1.1

So size of Square tile is 1.1 x 1.1  m²

Step 2:

Find area of the room floor

2.2 x 3.3 m²

Step 3:

Find area of a tile

1.1 x 1.1 m²

Step 4:

Divide floor area by a tile area to find number of tiles

2.2 x 3.3 / ( 1.1 x 1.1)

= 2 x 3

= 6

The least number of square tiles required to cover the floor is 6