Answer

Verified

348k+ views

**Hint**: This problem is related to unit conversion and area of the room. First we will convert the dimensions into meters and then we will find the area of the room. And that area is nothing but the square meters of carpet needed to cover the floor of the room.

**Complete step by step solution:**

Given is the dimension of the room. But they are given in meters and others are in a combination of meters and centimeters.

So in order to find the carpet required we will need the area of the room. For that the dimensions should be in any one unit. Since the carpet requirement is asked in square meters we will take the dimensions in meters.

So the length is already 4 m.

But the breadth or we can say width of the room is given as 3m 50 cm.

So convert this 50 cm into meters.

Thus, \[50cm = \dfrac{{50}}{{100}}\]

On dividing we get,

\[50cm = 0.50m\]

Now add this with the 3m width,

\[3m + 0.50m = 3.50m\]

This is the width or breadth of the room.

Now the area of the room is given by,

\[area = l \times b\]

Putting the values,

\[area = 4 \times 3.50\]

On multiplying we get,

\[area = 14{m^2}\]

Thus this is the area of the room and the square meters of carpet required.

Thus \[14{m^2}\] of carpet will be required.

**So, the correct answer is “ \[14{m^2}\] ”.**

**Note**: Note that, only the floor is to be covered and not the whole room. If the whole room is to be covered then we need the height of the room also. But in that case also we will find the areas of the walls and floor and not the volume. Volume is found in case of occupied or is filled with type of questions.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE