Question

A room has a floor of dimensions 6m by 5m. A square carpet of side 4m is laid on it. How much of the floor area is not carpated?
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Answer 1

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

$\fbox{\textsf{\bold{14sq.m}}}$

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

$\textsf{Dimensions of floor: \textbf{\bold{6m x 5m}}}$

$\textsf{Side of square carpet: \textbf{4m}}$

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

$\textsf{Since the floor is a rectangle, so,}$

   $\bullet \: \textbf{\bold{Area of rectangle = l \textsf{x} b}}$

$\star \:\texttt{Length of floor = 6m }$

$\star \: \texttt{Breadth of floor = 5m}$

$\to \textbf{Area = 6 \textsf{x} 5}$

$\therefore \mathbf{\large{\underline{Area \:of \:floor = 30m^{2}}}}$

$\colon \to \textbf{To find the area of the carpet:}$

$\textsf{Since the carpet is a square, so,}$

  $\bullet \: \textbf{\bold{Area of square = s \textsf{x} s }}$

$\star \:\texttt{Side of carpet = 4m }$

$\to \textbf{Area = 4 \textsf{x} 4}$

$\therefore \mathbf{\large{\underline{Area \:of \:carpet = 16m^{2}}}}$

$\colon \to \textbf{To find the area of floor which is not carpeted:}$

  $\bullet \: \textbf{\bold{Area of floor not carpeted = Area of floor - Area of carpet}}$

$\star \:\texttt{Area of floor = 30sq.m}$

$\star \:\texttt{Area of carpet = 16sq.m }$

$\to \textbf{Area of floor not carpeted = 30 - 16 = 14}$

$\therefore \mathbf{\large{\underline{Area \:of \:floor \:not \:carpeted = 14m^{2}}}}$