Question

A room measures 4.8 m and 5.04 m. Find the size of
the longest square tile that can be used to tile the floor
without cutting any tile.
​

Answer 1

Given :

• Length of room = 4.8 m
• Breadth of room = 5.04 m

To Find :

• Size of longest square tile that can be used to tile the floor of the given room without cutting any tile.

Solution :

Let's find the area of tile :

As, we have :

• Length of room = 4.8 m
• Breadth of room = 5.04 m

So, to find the longest square tile that can use to tile the floor, we should take side = 4.8 m (because shortest side of room is 4.8 m)

Now, we have a formula :

$\large \underline{\boxed{\sf Area_{(square)} = side^{2}}}$

$\sf : \implies Area_{(tile)} = (4.8 m)^{2}$

$\sf : \implies Area_{(tile)} = 4.8 \times 4.8 m^{2}$

$\sf : \implies Area_{(tile)} = \dfrac{48}{10} \times \dfrac{48}{10} m^{2}$

$\sf : \implies Area_{(tile)} = \dfrac{2304}{100} m^{2}$

$\sf : \implies Area_{(tile)} = 23.04 m^{2}$

$\large \underline{\boxed{\sf Area_{(tile)} = 23.04 m^{2}}}$

So, the area of the longest square tile that can be used to tile the floor without cutting any tile is 23.04 m².