Question

A marble tile measures 12 cm x 10 cm. How many tiles will be required to cover a wall of size 4 m x 3 m? Also, find the total cost of the tiles at the rate of 15 per tile.​

Answer 1

Answer -

• 10000 tiles will be required to cover the wall.

• The total cost of the tiles = Rs 15000.

To find -

• The number of tiles required to cover the wall.

• The total cost of the tiles.

Step-by-step explanation -

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

We know that -

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

Here -

• Length = 12 cm.
• Breadth = 10 cm.

Therefore -

$\tt Area_{(tile)} = 12 \times 10$

$\tt Area_{(tile)} = 120 \: {cm}^{2}$

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

We know that -

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

Here -

• Length = 4 m.
• Breadth = 3 m.

Converting the dimensions of the wall into cm -

$\longrightarrow$ 4 m = 400 cm.

$\longrightarrow$ 3 m = 300 cm.

Therefore -

$\tt Area_{(wall)} = 400 \times 300$

$\tt Area_{(wall)} = 120000 \: {cm}^{2}$

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

Formula to be used -

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

Here -

• Area of the wall = 120000 cm².
• Area of each tile = 120 cm².

Therefore -

$\mathfrak{ No. \: of \: tiles \: required = \cancel{\dfrac{120000}{120} }}$

$\mathfrak{No. \: of \: tiles \: required = 1000}$

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• Finally, let's find the cost of the tiles!

Given that -

• The cost of each tile = Rs 15.
• 1000 tiles will be required.

Therefore -

• The cost of 1000 tiles = 1000 × 15 = Rs 15000.

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Answer 2

Step-by-step explanation:

Total Cost of tiles Cost of one tile * No of tiles required

No of tiles required = Total area of wall /

Area of 1 tile Area of one tile = 12 * 10 = 120 cm² 1 m = 100cm, 3m = 300cm and 4m = 400cm

Area of the wall 400* 300 = = 120000cm² No of tiles required = 120000/120 = 1000 tiles

Total cost of tiles = 1000 * 22.5 = Rs 22500