Question

Arbaz want to tile his kitchen floor with green square tiles. Each side of tile is 10cm wide his kitchen is 220 cm in length and 180 cm wide . how many tiles will he need?

Answer 1

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(4,0){2}{\line(0,1){4}}\multiput(0,0)(0,4){2}{\line(1,0){4}}\put(-0.5,-0.5){\bf D}\put(-0.5,4.2){\bf A}\put(4.2,-0.5){\bf C}\put(4.2,4.2){\bf B}\put(1.5,-0.6){\bf\large 10\ cm}\put(4.4,2){\bf\large 10\ cm}\end{picture}$

• Diagram of the square tile......⬆️⬆️⬆️⬆️

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 220 cm}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 180 cm}\put(-0.5,-0.4){\bf A}\put(-0.5,3.2){\bf D}\put(5.3,-0.4){\bf B}\put(5.3,3.2){\bf C}\end{picture}$

• Diagram of the kitchen floor......⬆️⬆️⬆️⬆️

$\LARGE\textbf{\underline{Given :- }}$

$\large\textsf{⟾ Each side of the square tile = 10 cm }$

$\large\textsf{⟾ Length of the kitchen = 220 cm}$

$\large\textsf{⟾ Width of the kitchen = 180 cm }$

$\LARGE\textbf{\underline{To find :- }}$

$\large\textsf{⇝ Total number of square tiles would be required = ?}$

$\LARGE\textbf{\underline{Formula :- }}$

$\large: \: \Longrightarrow\boxed{\textbf\textcolor{purple}{ Area of a square = Side²}}\\\\\\\large: \:\Longrightarrow\boxed{\textbf\textcolor{purple}{ Area of a rectangle = l × w}}$

$\LARGE\textbf{\underline{Method :- }}$

• First calculate the area of the kitchen and the area of the square tile.
• Then divide the area of the kitchen by the area of the tile.
• By doing this we can get the number of tiles required.

$\LARGE\textbf{\underline{Solution :- }}$

$\large\leadsto\textsf{Area of the kitchen :- }\\\\\large\leadsto\textsf{Length = 220 cm}\\\\\large\leadsto\textsf{Width = 180 cm}$

$\large\textsf{⟾ Area of the kitchen = 220 × 180}\\\\\\\large\boxed{\therefore\textbf\textcolor{magenta}{Area of the kitchen = 39600 cm²}}\\\\\\\\\\\large\textsf{➳ Area of the square tile :- }\\\\\large\textsf{➳ Side = 10 cm}\\\\\\\large\textsf{⟾ Area of the square tile = 10²}\\\\\\\large\boxed{\therefore\textbf\textcolor{magenta}{Area of the square tile = 100 cm²}}\\\\\\\\\large\textsf{➳ Total number of square tiles required : -}$

$\large\textsf{⟾ Total square tiles = \cfrac{Area \: \: \: of \: \: \: the\: \: \: kitchen}{Area\: \: \: of\: \: \: the\: \: \: square\: \: \: tile } }\\\\\\\\\large\textsf{⟾ Total square tiles = \cfrac{ 39600}{100} }\\\\\\\\\large\textsf{⟾ Total square tiles = \cancel\cfrac { 39600}{100} }$

$\large\boxed{\therefore\textbf\textcolor{red}{Total square tiles required = 396}}$

* Use the web version to see the above diagrams ;)