Question

A room is 7.5 m long and 4.8 m wide. Its floor is to be paved with square tiles. How many tiles will be needed if each side of the tiles is 15 cm?​

Answer 1

Answer :-

• Number of tiles required are 1600.

To find :-

• The number of tiles required to pave the floor.

Step-by-step explanation :-

• Here, the length and breadth of a room are given to us. We have to find the number of tiles needed to pave the floor if each side of the square tiles is 15 cm.

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• First, let's find the area of the room!

The room is in the shape of a rectangle.

We know that :-

$\bigstar \: \underline{\boxed{\sf{Area\: of\: rectangle = Length \times Breadth}}}$

Here,

• Length = 7.5 m.
• Breadth = 4.8 m.

Therefore,

$\bf{\longrightarrow \: Area =7.5 \:m \times 4.8 \:m}$

$\bf{\longrightarrow \: Area = {36 \:m}^{2}}$

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• Now, let's find the area of each square tile!

The square tiles are in the shape of a square.

We know that :-

$\bigstar \: \underline{\boxed{\sf Area \:of \:a \:square = (Side)^2}}$

Here,

• Side = 15 cm.

Converting 15 cm into m :-

$\longmapsto$ 0.15 m.

Therefore,

$\bf{\longrightarrow \: Area = {(0.15)}^{2}}$

$\bf {\longrightarrow \: Area = 0.0225 \:m^2}$

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• Finally, let's find the number of tiles required!

Now,

$\bigstar \: \underline{\boxed{\sf{No.\: of \:tiles\: needed = \dfrac{Area \: of \: the\: room}{Area\: of \:each\: tile}}}}$

Here,

• Area of the room = 36 m².
• Area of each square tile = 0.0225 m².

Therefore,

$\rm{ \longrightarrow \: No. \: of \: tiles \: needed = \dfrac{36}{0.0225}}$

$\rm{ \longrightarrow \: No. \: of \: tiles \: needed = 1600}$

Hence :-

• 1600 tiles are required.

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