Question

How many tiles of length 12 cm and breadth 6 cm can fit on a rectangular floor of length 88 cm and breadth 72 cm?

Answer 1

Answer:

The required number of tiles is 88

Step-by-step explanation:

Given :

• The length and breadth of the tile is 12 cm and 6 cm respectively.
• The length of the rectangular floor is 88 cm and breadth is 72 cm.

To find :

the number of tiles fit on the rectangular floor.

Solution :

First, we have to find the area of the rectangular floor and the area of one tile. Then, dividing the area of the rectangular floor by the area of one tile, we get the required number of tiles.

Area of rectangular floor :

length = 88 cm

breadth = 72 cm

Area = length × breadth

= 88 cm × 72 cm

= 6336 cm²

Area of one tile :

length = 12 cm

breadth = 6 cm

Area = length × breadth

= 12 cm × 6 cm

= 72 cm²

Let 'n' be the required number of tiles.

n × Area of one tile = Area of the rectangular floor

n × 72 cm² = 6336 cm²

n = 6336/72

n = 88

Therefore, the number of tiles fit on the rectangular floor of given dimensions are 88

Answer 2

Step-by-step explanation:

$\underline{\underline{\maltese\: \: \textbf{\textsf{Question}}}}$

• How many tiles of length 12cm and breadth 6cm can fit on a rectangular floor of length 88cm and breadth 72cm ?

$\underline{\underline{\maltese\: \: \textbf{\textsf{Answer}}}}$

• 88 tiles of length 12cm and breadth 6cm can fit on a rectangular floor of length 88cm and breadth 72cm.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Given}}}}$

• Length of the tile = 12cm.
• Breadth of the tile = 6cm.

$\underline{\underline{\maltese\: \: \textbf{\textsf{To\ Find}}}}$

• Number of tiles of length 12cm and breadth 6cm can fit on a rectangular floor of length 88 cm and breadth 72cm.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Basic\ Terms}}}}$

• Length : The measured distance from one end to the other of the longer or longest side of an object.
• Breadth : The distance between the two sides of something.
• Rectangle : A shape with four straight sides and four angles of 90° (right angles). Two of the sides are longer than the other two.
• Area : The area can be defined as the space occupied by a flat shape or the surface of an object. 

$\underline{\underline{\maltese\: \: \textbf{\textsf{Solution}}}}$

• As we are asked to find out number of tiles of length 12cm and breadth 6cm can fit on a rectangular floor of length 88 cm and breadth 72cm.
• So firstly, we will find out the area of each tile.
• As per the given information, we know that the tile is in the shape of rectangle. Since, it's length and breadth is given.
• So, by using a required formula we will find out the area of the tile.

$\underline{\underline{\maltese\: \: \textbf{\textsf{Calculations}}}}$

We know that :-

${\underline{\boxed{\sf {Area\ of\ rectangle\ =\ length \times breadth}}}}$

Here,

• Length = 12cm.
• Breadth = 6cm.

By applying the values, we get :-

$\sf \mapsto {Area\ of\ each\ tile\ =\ length \times breadth}$

$\sf \mapsto {Area\ of\ each\ tile\ =\ 12cm \times 6cm}$

$\sf \mapsto {Area\ of\ each\ tile\ =\ 72cm^2}$

${\therefore{\underline{\boxed{\tt {Area\ of\ each\ tile\ =\ 72cm^2.}}}}}$

• Now, we have the area of each tile. So, now we will find out the area of the rectangular floor.
• So, by using a required formula we will find out the area of the rectangular floor.

We know that :-

${\underline{\boxed{\sf {Area\ of\ rectangle\ =\ length \times breadth}}}}$

Here,

• Length = 88cm.
• Breadth = 72cm.

By applying the values, we get :-

$\sf \mapsto {Area\ of\ the\ floor\ =\ length \times breadth}$

$\sf \mapsto {Area\ of\ the\ floor\ =\ 88cm \times 72cm}$

$\sf \mapsto {Area\ of\ the\ floor\ =\ 6336cm^2}$

${\therefore{\underline{\boxed{\tt {Area\ of\ the\ floor\ =\ 6336cm^2.}}}}}$

• Now, we have the area of each tile and the area of the floor.
• So, by dividing the area of both we will find out the number of tiles needed.

We know that :-

${\underline{\boxed{\sf {Number\ of\ tiles\ needed\ =\ \dfrac{Area\ of\ the\ floor}{Area\ of\ each\ tile}}}}}$

Here,

• Area of the floor = 6336cm².
• Area of each tile = 72cm².

By applying the values, we get :-

$\sf \mapsto {Number\ of\ tiles\ needed\ =\ \dfrac{Area\ of\ the\ floor}{Area\ of\ each\ tile}}$

$\sf \mapsto {Number\ of\ tiles\ needed\ =\ \dfrac{6336}{72}}$

$\sf \mapsto {Number\ of\ tiles\ needed\ =\ 88}$

${\therefore{\underline{\boxed{\tt {Number\ of\ tiles\ needed\ =\ 88.}}}}}$