Question

A floor is 5m long and 4m wide. A square carpet of side 3m is laid on the floor. find the area of the floor that is not carpeted

Answer 1

Answer:

11

Step-by-step explanation:

area of floor = 5*4=20

area of carpet=3*3=9

therefore , 20-9=11

pls mark as brainlist

Answer 2

Given

• The floor is 5m long and 4m wide

• A square which is carpeted is of side 3m

To find

• The area of floor that is not carpeted

Solution

${ \underline{ \underline{ \boxed{ \bf{Understanding \: the \: question}}}}}$

In the given question it has written to find the area of the floor which is not carpeted and it has given the length and breadth of the floor and the side of the square carpet and to find the answer we have to use one formula and after using the formula we have to to find the area of the floor and the area of the square carpet then we will get the whole answer.

Diagram

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

[Note:- Kindly see the diagram on the web page]

${ \bf { \dag{ \purple{\boxed{ \mathfrak{Formula \ used}}}}}}$

$\;\boxed{\sf{\pink{Area \: of \: floor \: - \: Area \: of \: carpet = Area \: of \: floor \: that \: is \: not \: carpeted}}}$

$\;\boxed{\sf{\blue{Area_{\:(rectangle)} = Length \times Breadth}}}$

$\;\boxed{\sf{\red{Area_{\:(square)} = side\times side}}}$⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies$ Area of floor $\mapsto$ 5m × 4m

⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies$  20$\sf{m}^{2}$

⠀⠀⠀⠀⠀⠀

$: \implies$ Area of carpet $\mapsto$ 3m × 3m

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies$ 9$\sf{m}^{2}$⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies$  20$\sf{m}^{2}$ - 9

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

$: \implies$ ${ \underline{ \underline { \boxed{ \pink{ \mathfrak{Area \leadsto11 \sf{m}^{2}}}}}}}$✯

⠀⠀⠀⠀

•°• Hence, verified! that the area which is not carpeted is 11$\sf{m}^{2}$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀