Question

How many rectangular tiles 10 cm by 7 cm will
be required to cover a floor 14 m by 12.5m
and what will be the cost at 5 per hundred
tiles?​

Answer 1

AnswEr :

$\tt{Tiles\:Dimensions} \begin{cases}\sf{Length\: (l)=10 cm} \\ \sf{Breadth \:(b)=7cm}\end{cases}$

$\tt{Floor \: Dimensions} \begin{cases}\sf{Length \:(L)=14 m = 1400cm} \\ \sf{Breadth \:(B)=12.5m = 1250cm}\end{cases}$

• According to the Question Now :

$\implies \tt Area \: of \: Floor = Area \:of \:Tiles\times Number$

$\implies \tt L \times B = l \times b\times Number$

$\implies \tt 1400 \times 1250 = 10 \times 7\times Number$

$\implies \tt \dfrac{1400 \times 1250}{10 \times 7} =Number$

$\implies \tt \dfrac{\cancel{1400} \times 1250}{\cancel{70}} =Number$

$\implies \tt 20 \times 1250 =Number$

$\implies \green{\tt Number = 25000}$

$\rule{300}{1}$

• Cost of Tiles Per Hundred is Rs. 5 ;

$\longrightarrow \tt Total \: Cost = \dfrac{Number}{100} \times Rate$

$\longrightarrow \tt Total \: Cost = \dfrac{250\cancel{00}}{1\cancel{00}} \times Rs. 5$

$\longrightarrow \tt Total \: Cost = 250\times Rs. 5$

$\longrightarrow \boxed{ \red{\tt Total \: Cost = Rs. 1250}}$

⠀

∴ Total Cost of Tiling of Floor is Rs. 1250

Answer 2

$\bf{\Huge{\underline{\boxed{\rm{\red{ANSWER\::}}}}}}$

Given:

The rectangular tiles 10cm by 7cm will be required to cover a floor 14m by 12.5m.

To find:

The number of tiles required and the cost at 100 tiles/₹5.

$\bf{\Large{\underline{\sf{\green{Explanation\::}}}}}$

☆According to rectangular tiles;

We have,

• Length of the tiles= 10cm
• Breadth of the tiles= 7cm

We know that area of rectangle= [Length × Breadth]   [sq.units]

→ Area of tiles= (10×7)cm²

→ Area of tiles= 70cm²

☆According to floor;

We have,

• Length of the floor= 14m
• Breadth of the floor= 12.5m

[convert into cm]

We know that 1m= 100cm

So,

→ Length= (14×100)cm= 1400cm

→ Breadth= (12.5×100)cm= 1250cm

→ Area of floor= (1400×1250)cm²

→ Area of floor= 1750000cm²

Now,

⇒ Number of tiles required= $\frac{Area\:of\:floor}{Area\:of\:tiles}$

⇒ Number of tiles required= $\cancel{\frac{1750000cm^{2} }{70cm^{2} } }$

⇒ Number of tiles required= 25000

Given,

• The cost of 100 tiles/₹5;

→ Total cost of tiles= $\frac{Number of tiles}{100} *Rate$

→ Total cost of tiles= $\frac{250\cancel{00}}{\cancel{100}} *5$

→ Total cost of tiles= ₹(250×5)

→ Total cost of tiles = ₹1250