Question

A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor.

Find the area of the floor that is not carpeted​

Answer 1

Answer :-

• The area of the floor that is not carpeted is 11 m².

Given :-

• A floor is 5 m long and 4 m wide.
• A square carpet of sides 3 m is laid on the floor.

To find :-

• The area of the floor that is not carpeted.

Step-by-step explanation :-

• In this question, the dimensions of a floor have been given to us. It has also been given that a square carpet of sides 3 m is laid on that floor. We have to find the length of the floor that is not carpeted.

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Let's find the area of the floor first!

• The floor is in the shape of a rectangle, since it's length and breadth has been given to us.

We know that :-

$\underline{ \boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth}}$

Here,

• Length = 5 m.
• Breadth = 4 m.

Hence,

$\boxed{\tt Area = 5 \times 4}$

$\boxed{ \tt Area = {20 \: m}^{2} }$

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Now let's find the area of the square carpet!

• As given already, the carpet is in the shape of a square of side 3 m.

We know that :-

$\underline{ \boxed{ \sf Area \: of \: a \: square = Side \times Side}}$

Here,

• Side = 3 m.

Hence,

$\boxed{\tt Area = 3 \times 3}$

$\boxed{\tt Area = {9 \: m}^{2}}$

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Now, we have :-

• Area of the floor = 20 m²
• Area of the square carpet = 9 m²

Hence, the area of the floor that is not carpeted is :-

$\boxed{ \bf20 - 9}$

$\boxed{ \bf {11 \: m}^{2}}$

Answer 2

Answer:

Answer :-

The area of the floor that is not carpeted is 11 m².

Given :-

A floor is 5 m long and 4 m wide.

A square carpet of sides 3 m is laid on the floor.

To find :-

The area of the floor that is not carpeted.

Step-by-step explanation :-

In this question, the dimensions of a floor have been given to us. It has also been given that a square carpet of sides 3 m is laid on that floor. We have to find the length of the floor that is not carpeted.

---------------

Let's find the area of the floor first!

The floor is in the shape of a rectangle, since it's length and breadth has been given to us.

We know that :-

\underline{ \boxed{\sf Area \: of \: a \: rectangle = Length \times Breadth}}

Areaofarectangle=Length×Breadth

Here,

Length = 5 m.

Breadth = 4 m.

Hence,

Area=5×4

=20

Now let's find the area of the square carpet!

As given already, the carpet is in the shape of a square of side 3 m.

---------------

Now, we have :-

Area of the floor = 20 m²

Area of the square carpet = 9 m²

Hence, the area of the floor that is not carpeted is :-

Step-by-step explanation:

11m^2