Question

A room 12 m length and 10m
width is filling with square tiles
of side 50 cm. Number of tiles
required is​

Answer 1

$\mathbb{\bold{\underline{ANSWER}}}$

$\fbox{\textsf{17.6 OR 18 approx.}}$

$\mathbb{\bold{\underline{EXPLANATION:}}}$

$\textsf{Dimensions of Room = \textbf{12m x 10m}}$

$\textsf{Side of Square Tile = \textbf{50cm}}$

  $\bullet \textbf{ Number of tiles required = \frac{\textbf{Area of Room's Floor}}{\textbf{Area of 1 tile}} }$

$\colon \to \textbf{To find the area of room's floor :}$

$\textsf{We have length and breadth, so the floor is a rectangle}$

  $\bullet \textbf{ Area of Rectangle = 2 (l + b)}$

$\star \texttt{ Length = 12m}$

$\star \texttt{ Breadth(Width) = 10m}$

$\to \textsf{Area = 2 x (12 + 10)}$

$\to \textsf{2 x 22 = 44}$

$\therefore \textbf{Area of Floor = 44m ^\textbf{2} }$

$\colon \to \textbf{To find the Area of 1 Square Tile :}$

  $\bullet \textbf{ Area of Square = side \textsf{x} side = side ^\textbf{2} }$

$\star \texttt{ Side = 50cm}$

$\to \textsf{Area = 50 ^\textsf{2} }$

$\to \textsf{50 x 50 = 250cm ^\textsf{2} }$

$\to \textsf{250cm ^\textsf{2} = \frac{\textsf{250}}{\textsf{100}} = 2.5m ^\textsf{2} }$

$\therefore \textbf{Area of 1 Square Tile = 2.5m ^{\textbf{2}} }$

$\colon \to \textbf{To find the number of Tiles required :}$

  $\bullet \textbf{ Number of tiles required = \frac{\textbf{Area of Room's Floor}}{\textbf{Area of 1 tile}} }$

$\star \texttt{ Area of room's floor = 44m ^{\texttt{2}} }$

$\star \texttt{ Area of 1 Square Tile = 2.5m ^{\texttt{2}} }$

$\to \textsf{Number of Tiles required = \frac{\textbf{44}}{\textbf{2.5}} }$

$\to \frac{\textsf{440}}{\textsf{25}} \textsf{ = 17.6}$

$\therefore \textbf{Number of Tiles required = 17.6 OR approximately 18}$