Answer

Verified

457.5k+ views

**Hint:**The area of the room floor is the product of length and breadth i.e., $a = l \times b$ where l is the length and b is the wideness of the floor. The area of the square carpet is $a' = {s^2}$ where s is the side of the square carpet.

**Complete step-by-step answer:**

Given, the room is 15m and 14m wide.

Therefore, the Area of the floor of the room is $a = l \times b$ where, l is the length and b is the wideness of the floor.

$

\Rightarrow a = 15 \times 14 \\

\Rightarrow a = 210{m^2} \\

$

Thus, the area of the room is $210{m^2}$.

And, The area of the carpet is $a' = {s^2}$, where s is the side of the square carpet.

Given, side of the carpet is 300m

Since, $

1m = 100cm \\

\Rightarrow 300cm = 3m \\

$

Hence, the Side of the carpet in meters is $3m$

The area of the carpet will be

$

a' = {s^2} \\

\Rightarrow a' = {3^2} = 9{m^2} \\

$

Therefore, the area of carpet is $9{m^2}$i.e, the area of the room that is carpeted.

The area of the room which is not carpeted is the difference between the total area of the room and the area of the room which is carpeted.

$

\Rightarrow a - a' \\

\Rightarrow (210 - 9){m^2} = 201{m^2} \\

\\

$

Hence, The Area of the room which is not carpeted is $210{m^2}$

**Note:**Important aspect to notice and keep in mind is the side of the carpet is given in centimeters and the rest values are given in meters. So, we must change every value in the same metric system. We, therefore, changed the value of the side of the carpet into meters from centimeters.

Recently Updated Pages

Who among the following was the religious guru of class 7 social science CBSE

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Trending doubts

Derive an expression for drift velocity of free electrons class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE

The energy of a charged conductor is given by the expression class 12 physics CBSE

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

Derive an expression for electric field intensity due class 12 physics CBSE

How do you graph the function fx 4x class 9 maths CBSE

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

Derive an expression for electric potential at point class 12 physics CBSE