Question

Find the number of square tiles of side
12 cm required for tiling a wall of
dimension 7.2 m x 3 m. Also, find the
cost of the tiling if one tile costs rupees 2.50 .​

Answer 1

Answer :-

• Number of Tiles Required = 1500 Tiles
• Total Cost Tiling = 3750 Rs

Given :-

• Side of Square Tile = 12 cm
• Length of Wall = 7.2 m = 720 cm
• Width of Wall = 3 m = 300 cm

To Find :-

• Number of Tiles Required = ?
• Total Cost Tiling = ?

Explanation :-  

 

 In Order to Find the Number of tiles, First we need to find the Area of wall and Area of 1 Tile.

 

$\blue { \boxed { \bf \bigstar \: Area \: of \: Wall = Length \times Width \: \bigstar }}$

$\rm : \: \implies 720 \times 300 \: cm^2$

$\bf : \: \implies 216000 \: cm^2 \: \: \star$

$\blue { \boxed { \bf \bigstar \: Area \: of \: 1 \: Tile = (Side)^2 \: \bigstar }}$

$\rm : \: \implies (12)^2 \: cm^2$

$\bf : \: \implies 144 \: cm^2 \: \: \star$

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Now, we will find the Number of Tiles

$\green { \boxed { \bf \bigstar \: No. \: of \: Tiles \: Required = \dfrac{Area \: of \: Wall}{Area \: of \: 1 \: Tile} \: \bigstar }}$

$\rm : \: \implies \dfrac{216000}{144} \: \: \: \: Tiles$

$\red { \underline { \boxed { \bf : \: \implies 1500 \: Tiles }}}$

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Now, we will find the Total Cost of Tiling

$\rm : \: \implies Cost \: of \: 1 \: Tile = \bold{2.50 \: R_S}$

$\rm : \: \implies Cost \: of \: 1500 \: Tile,$

          $\rm = (1500 \times 2.50) \: R_S$

         $\red { \underline { \boxed { \bf = 3750 \: R_S }}}$

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Hence, the Total Tiles Required for tiling the wall is 1500 Tiles and Total Cost of tiling the wall is 3750 Rs.

Answer 2

In Order to Find the Number of tiles, First we need to find the Area of wall and Area of 1 Tile.

\blue { \boxed { \bf \bigstar \: Area \: of \: Wall = Length \times Width \: \bigstar }}

★AreaofWall=Length×Width★

\rm : \: \implies 720 \times 300 \: cm^2:⟹720×300cm

2

\bf : \: \implies 216000 \: cm^2 \: \: \star:⟹216000cm

2

⋆

\blue { \boxed { \bf \bigstar \: Area \: of \: 1 \: Tile = (Side)^2 \: \bigstar }}

★Areaof1Tile=(Side)

2

★

\rm : \: \implies (12)^2 \: cm^2:⟹(12)

2

cm

2

\bf : \: \implies 144 \: cm^2 \: \: \star:⟹144cm

2

⋆

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Now, we will find the Number of Tiles

\green { \boxed { \bf \bigstar \: No. \: of \: Tiles \: Required = \dfrac{Area \: of \: Wall}{Area \: of \: 1 \: Tile} \: \bigstar }}

★No.ofTilesRequired=

Areaof1Tile

AreaofWall

★

\rm : \: \implies \dfrac{216000}{144} \: \: \: \: Tiles:⟹

144

216000

Tiles

\red { \underline { \boxed { \bf : \: \implies 1500 \: Tiles }}}

:⟹1500Tiles

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Now, we will find the Total Cost of Tiling

\rm : \: \implies Cost \: of \: 1 \: Tile = \bold{2.50 \: R_S}:⟹Costof1Tile=2.50R

S

\rm : \: \implies Cost \: of \: 1500 \: Tile,:⟹Costof1500Tile,

\rm = (1500 \times 2.50) \: R_S=(1500×2.50)R

S

\red { \underline { \boxed { \bf = 3750 \: R_S }}}

=3750R

S

‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒

Hence, the Total Tiles Required for tiling the wall is 1500 Tiles and Total Cost of tiling the wall is 3750 Rs.