Question

A room is 8 m long and 6 m wide. If floor is to be covered with rectangular tiles of size 25 cm by 20 cm. How many tiles will be required ? Find the cost of these tiles at ₹ 25 per tile ?​

Answer 1

Answer :-

• The number of tiles needed = 960.
• The cost of these tiles is Rs 24000.

Given :-

• A room is 8 m long and 6 m wide.

To find :-

• The number of tiles required.
• The cost of these tiles at Rs 25 per tile.

Step-by-step explanation :-

• Let's find out our answer step-by-step!

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Finding the area of the floor :-

• The floor is in the shape of a rectangle, since only it's length and breadth is given. So we will use the formula required for finding the area of a rectangle.

We know that :-

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

Here,

• Length = 8 m.
• Breadth = 6 m.

• But the length and breadth of the tile is in metres. So for finding the number of tiles required, we have to convert the dimensions of the floor into centimetres.

Since,

• 1 m = 100 cm.

Therefore,

• 8 m = 8 × 100 = 800 cm.
• 6 m = 6 × 100 = 600 cm.

Hence,

$\longmapsto\tt Area \: of \: the \: floor = 800 \times 600$

Multiplying 800 with 600,

$\longmapsto\overline{ \boxed{ \tt Area \: of \: the \: floor = {480000 \: cm}^{2}}}$

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Finding the area of each tile :-

• The tile is in the shape of a rectangle, since only it's length and breadth is given. So we will use the formula required for finding the area of a rectangle.

We know that :-

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

Here,

• Length = 25 cm.
• Breadth = 20 cm.

Hence,

$\longmapsto\tt Area \: of \: each \: tile = 25 \times 20$

Multiplying 25 with 20,

$\longmapsto\overline{ \boxed{\tt Area \: of \: each \: tile = {500 \: cm}^{2}}}$

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Finding the number of tiles required :-

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

Now,

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

Here,

• Area of the floor = 480000 cm².
• Area of each tile = 500 cm².

Hence,

$\longmapsto\rm No. \: of \: tiles \: needed = \dfrac{480000}{500}$

Dividing 480000 by 500,

$\longmapsto\overline{ \boxed{ \rm No. \: of \: tiles \: needed = 960}}$

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Finding the cost of these tiles :-

• The cost of each tile = Rs 25 and the number of tiles is 960.

• Hence, the cost of these tiles is :-

$\longmapsto\overline{\boxed{\bf960 \times 25= Rs \: 24000}}$