Question

Khushi plans to tile her kitchen floor with green square tiles. Each side of the tile is 10cm.

Her kitchen is 220cm in length and 180cm wide. How many tiles will she need?
$5322399$
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Answer 1

$\large\underline{\underline{ \sf \maltese{\:Given:}}}$

• Each side of the tile is 10cm.
• Her kitchen is 220cm in length and 180cm wide.

$\large\underline{\underline{ \sf \maltese{\:To \:Find:}}}$

• How many tiles will she need to tile the kitchen.?

$\large\underline{\underline{ \sf \maltese{\:Analysis:}}}$

so, to tile the kitchen first need to find the area of the kitchen,then find the area of the tiles and then divide it by the area of the kitchen.

$\large\underline{\underline{ \sf \maltese{\:Formulas\: Used:}}}$

$\longmapsto \sf \: \: area \: of \: a \: rectangle = lenght \times bradth \\ \\ \longmapsto \sf \: area \: of \: a \: square = {side}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\large\underline{\underline{ \sf \maltese{\:Answer:}}}$

${ \underline{ \boxed {\purple{ \rm{the \: no. \: of \: tiles \: required \: = 396 ^{ \bigstar} }}}}}$

$\large\underline{\underline{ \sf \maltese{\:complete\: Solution:}}}$

$: \implies \sf \: area \: of \: the \: kitchen = 220 \times 180 {m}^{2} \\ \\ \\ \\ : \implies \sf \: area \: of \: the \: kitchen =39600 {m}^{2} \: \: \: \: \: \: \:$

$\sf\underline \blue{ \bigstar \: area \: of \: the \: kitchen = 39600 {m}^{2} } \:$

now let's find the area of the tile

$: \implies \sf \: area \: of \: the \: tile = {10}^{2} \: \: \: \: \: \: \: \\ \\ \\ : \implies \sf \: area \: of \: the \: tile = 100 {m}^{2}$

$\sf\underline \blue{ \bigstar \: area \: of \: the \: tile = 100 {m}^{2} }$

now of tiles required:

$: \implies \sf \sf\cancel\frac{39600}{100} \\ \\ : \implies \bf \pink{396 ^ \bigstar} \:$

Answer 2

Given:

➜Khushi plans to tile her kitchen floor with square tiles.

➜Each side of the square tile is 10cm

➜Her kitchen is 220cm in length and 180cm wide.

To Find:

⇨ many tiles will she need?

Solution:

➢ Now,

$\sf : \longrightarrow \: no.of \: tiles \: required = \frac{area \: of \: each \: tile}{total \: area}$

★ total area refers to the area of the kitchen to be tiled ★

let's find the area of the square tile now,

$: \implies \sf \: area \: of \: tile = {s}^{2} \: \: \: \: \: \: \: \: \: \:\\ \\ : \implies \sf \: area \: of \: tile = {10}^{2} \: \: \: \: \: \: \: \: \\ \\ : \implies \sf \: area \: of \: tile = 100 {cm}^{2}$

$\rm \therefore\underline \purple{ \: the \: area \: of \: the \: tile = {100cm}^{2} }$

now let's find the area of the kitchen:

$: \implies \sf \: area \: of \: kitchen = lenght \times breadth \\ \\ : \implies \sf \: area \: of \: kitchen = 220 \times 180 \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf \: area \: of \: kitchen = 39600 {cm}^{2} \: \: \: \: \: \: \: \: \: \:$

$\rm \therefore \underline \blue{ \: area \: of \: the \: kitchen \: = \: 39600 {cm}^{2} }$

Now the number of tiles Required:

$\longmapsto \sf \: no.of \: tiles \: needed = \frac{396\cancel{00}}{1 \cancel{00}} \\ \\ \longmapsto \sf \: no.of \: tiles \: needed = 396 \: \: \: \: \: \:$

$\blue{ \underline{ \boxed{ \pink{ \mathfrak{ \therefore \: the \: number \: of \: tiles \: required = 396}}}}}$

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More to know:

$\leadsto \sf \: area \: of \: triangle = \frac{1}{2} b \times h \: \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf \: area \: of \: circle = \pi \: {r}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf \: area \: of \: rhombus = \frac{ d_1 d_{2} }{2} \: \: \: \: \: \: \: \: \\ \\ \leadsto \sf \: area \: of \: parallelogram = b \times h$