Question

A room is 6 meters in length and 4 meters in width. Find the least number of square tiles of equal size required to cover the entire floor of the room?
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Answer 1

Answer:

6 tiles are the least number of square tiles of equal size required to cover the entire floor of the room.

Step-by-step explanation:

Given:

• Length of a room = 6 m
• Breadth of a room = 4 m

To find:

• The least number of square tiles of equal size required to cover the entire floor of the room.

Solution:

First we will find area of a room and then the area of a square tile. Ater that we will divide the area of the room by the area of square tiles to find the least number of square tiles of equal size that are required to cover the entire floor of the room.

Let's find out..

✰ Area of a room = l × b

Here,

l is the length of a room.

b is the breadth of a room.

• Area of a room = 6 × 4
• Area of a room = 24 m²

Now, we will find the HCF of 6 and 4 and that is equal to the length of each side of a square title.

By prime factorization method,

• Factors of 6 = 2 × 3
• Factors of 4 = 2 × 2
• H.C.F of 6 and 4 = 2

∴ The length of each side of a square tile = 2 m

• Area of square tile = (side)²
• Area of square tile = 2²
• Area of square tile = 2 × 2
• Area of square tile = 4 m²

Finally,

• Least number of square tiles required = Area of a room/Area of each square tile
• Least number of square tiles required = 24/4
• Least number of square tiles required = 6

∴ The least number of square tiles of equal size required to cover the entire floor of the room = 6 tiles

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