Question

A floor is 12m long and 8m
wide .a square carpet of side
is 6m is laid on the floor. Find the area of floor that is not carpeted


​

Answer 1

Step-by-step explanation:

Area of room =length×breadth

=1.5×8=100m

2

Area of carpet =s×s=8×8=64m

2

Therefore, the area of the floor which is not carpeted =100−64=36 sq. m.

Answer 2

$\bf \: \underline{Given} :$ ↴

$\implies \sf Length \: of \: floor = 12 \: m$

$\implies \sf Breadth \: of \: floor = 8 \: m$

$\sf \implies Length \: of \: each \: side \: of \: square \: carpet = \: 6 \: m$

$\bf \: \underline{To \: find} :$ ↴

$\sf \implies The \: area \: of \: floor \: that \: is \: not \: carpeted.$

$\bf \: \underline{\underline{Solution}}$

To find the area of floor that is not carpeted, first of all we have to find the area of both, the floor and the square carpet, so let's do it !

$\sf \: Finding \: the \: area \: of \: floor,$

$\sf \: \implies Area \: of \: floor = Length \times Breadth$

$\sf \: \implies Area \: of \: floor = 12\: m \times 8\: m$

$\sf \: \implies Area \: of \: floor = 96 \: {m}^{2}$

$\sf \: Now, finding \: the \: area \: of \: square \: carpet,$

$\sf \: \implies Area \: of \: square \: carpet = (Side)^{2}$

$\sf \: \implies Area \: of \: square \: carpet = 6 \: m\times 6\:m$

$\sf \: \implies Area \: of \: square \: carpet = 36 \: {m}^{2}$

Now, we will subtract both, area of floor and area of square carpet to find out the area of floor that is not carpeted.

$\sf \: \implies Area \: of \: floor - Area \: of \: square \: carpet$

$\sf \: \implies 96\:m^{2} - 36\:m^{2}$

$\sf \: \implies 60\:m^{2}$

$\underline{\boxed{ \pink{\sf \:Hence, area \: of \: floor \: that \: is \: not \: carpeted = 60 \: m^{2}}}}$