Question

78. The number of squaré tiles, of side 15 cm required for flooring a room of size 3.6 m x 4.5 m, will be
A 720
B. 360
C 10800
D. 5400 ​

Answer 1

Step-by-step explanation:

here is the image of your answer

Answer 2

Answer -

• Option a) is correct.

• 720 square tiles will be required for flooring the room.

To find -

• The number of square tiles required.

Step-by-step explanation -

• Before finding the number of square tiles needed, let's find the area of each square tile!

We know that -

$\bigstar \: \underline{\boxed{\sf Area_{(square)} = Side \times Side}}$

Here -

• Side = 15 cm.

Converting 15 cm into m -

$\longrightarrow$ 15 ÷ 100 = 0.15 m.

There -

$\mapsto\rm Area_{(tile)} = 0.15 \times 0.15$

$\mapsto\rm Area_{(tile)} = 0.0225 \: {m}^{2}$

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

We know that -

$\bigstar \: \underline{\boxed{\sf Area_{(rectangle)} = Length \times Breadth}}$

Here -

• Length = 3.6 m.
• Breadth = 4.5 m.

Therefore -

$\mapsto \tt Area_{(room)} = 3.6 \times 4.5$

$\mapsto \tt Area_{(room)} = 16.2 \: {m}^{2}$

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Now -

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

Here -

• Area of the room = 16.2 m².
• Area of each square tile = 0.0225 m².

Therefore -

$\leadsto\mathfrak{No. \: of \: tiles \: needed = \cancel{\dfrac{16.2}{0.0225}}}$

$\leadsto \mathfrak{No. \: of \: tiles \: needed = 720}$

Hence -

• 720 tiles will be required for flooring the room of size 3.6 m × 4.5 m.

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