Question

A tile is a square of side $30cm$. Find the number of tiles required to cover the floor of a square room of side $3m$.

Answer 1

Step 1: Find the area of the square tile

We know that, the area of a square $=$${(lengthofasideofsquare)}^2$

The length of a side of the square tile $=30cm$

The area of square tile $={\left(30\right)}^{2}c{m}^2$

$=900c{m}^2$

Step 2: Find the area of the square room

The length of a side of the square room $=3m$

$=3\times 100cm$ ( as $1m=100cm$ )

$=300cm$

The area of square room $={\left(300\right)}^{2}c{m}^2$

$=90000c{m}^2$

Step 3: Divide the area of the room with the area of a tile to find the number of tiles required

Number of tiles required to cover the floor $=90000÷900$

$=100$

Hence, $100$ tiles are required to cover the floor of the given square room.