Question

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

Answer 1

Answer:-

The 11 m² area of the floor is not carpeted.

Explanation:-

Given:-

• Dimensions of the floor are 5m and 4m.

• Side of the square carpet = 3m.

To Find:-

• The area of the floor that is not carpeted.

Formulas Used:-

• ↦ Area of rectangle = Length × Breadth.

• ↦ Area of square = Side².

Solution:-

• Let the shadded region of the floor be carpeted (In the attachment).

So The Area Not Covered By The Carpet,

= Area of the floor - Area of the Carpet.

= (4m × 5m) - (3m × 3m).

= 20m² - 9m²

= 11m².

Therefore 11m² area of floor is not covered by the carpet.

Answer 2

Answer:

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 :-

• What is the area of the floor that is not carpeted.

Formula Used :-

$\boxed{\bold{\small{Area\: of\: rectangle\: =\: Length\: \times\: Breadth}}}$

$\boxed{\bold{\small{Area\: of\: square\: =\: ({side})^{2}}}}$

Solution :-

Length of the floor = 5 m

Breadth of the floor = 4 m

Then, area of the floor,

⇒ Area = 5 m × 4 m

➠ Area = 20 m²

Now, we have to find the area of floor carpet,

⇒ (3 m)²

➠ 9 m²

Last, we have to find the area of floor that is not carpeted,

⇒ 20 m² - 9 m²

➥ 11 m²

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