Question

L- Area and volume

A. John's bedroom is 4 m by 2.5 m. He wants to get the floor carpeted. How many square metres of carpet does he need?​

Please give me answer

Answer 1

$\begin{gathered}\begin{gathered}\bf \:Given-\begin{cases} &\sf{Length_{(room)} = 4 \: m} \\ &\sf{Breadth_{(room)} = 2.5 \: m} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \: To \: Find - \begin{cases} &\sf{Carpet \: required \: for \: floor \: to \: be \: carpeted}\end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\Large{\sf{{\underline{Formula \: Used - }}}}  \end{gathered}$

$\: \: \: \: \: \: \: \boxed{ \sf{ \: Area_{(floor)} = Length_{(room)} \times Breadth_{(room)}}}$

$\large\underline{\sf{Solution-}}$

Given that

• Length of room = 4 m

• Breadth of room = 2.5 m

So,

• Area of floor is given by

$\rm :\longmapsto\:Area_{(floor)} = Length_{(room)} \times Breadth_{(room)}$

$\rm :\longmapsto\:Area_{(floor)} = 4 \times 2.5$

$\rm :\longmapsto\:Area_{(floor)} = 10 \: {m}^{2}$

Now,

• The amount of carpet required for the floor to be carpeted is equals to the area of the floor of room.

$\rm :\longmapsto\:Amount_{(carpetrequired)} = Area_{(floor)}$

$\rm :\longmapsto\:Amount_{(carpetrequired)} = 10 \: {m}^{2}$

$\overbrace{ \underline { \boxed { \rm \therefore The \: amount \: of \: carpet \: required \: is \:10 \: {m}^{2} )}}}$

Additional Information :-

$\boxed{ \bf{ \: Area_{(square)} = {(edge)}^{2} }}$

$\boxed{ \bf{ \: Area_{(rhombus)} = base \times height}}$

$\boxed{ \bf{ \: Area_{(parallelogram)} = base \times height}}$

$\boxed{ \bf{ \: Area_{(circle)} = \pi \: {r}^{2} }}$