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:

ar of floor =l×b

5×4=20m^2

ar of carpet

3×3=9

ar of floor that us not carpeted =20-9=11m^2

Answer 2

★ Answer ★

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

Step by step Explanation :-

★ Given :-

• Length of the floor ↬ 5 m long
• Width of the floor ↬ 4 m wide.
• Side of the square carpet ↬ 3m.

★ Have to Find :-

Find the area of the floor that is not carpeted.

★ Solution :-

As we all know the formula of area of rectangle.

Area of rectangle = Length × Breadth

From the given, we got the length and breadth .

Now,

Substituting the values in the above formula :-

↬ Area = 5 m × 4 m

↬ Area = 20 m²

So, the area of the floor ↬ 20m²

Let's find out the area of floor carpet,

As according to the Question the carpet is in square shape .

Then ,

Area of square ↬ ( Side) ²

After putting up the values , we get

↬ (3 m)²

↬ 9 m²

Now, we find the area of floor that is not carpeted,which is equal to the :-

Area of floor that is not carpeted = (Area of floor) - (Area of square carpet)

↬ 20 m² - 9 m²

↬ 11 m²

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

➤ Some basic formulas which are really helpful in such type of questions

↬ Perimeter of Rectangle = 2( L + B )

↬ Perimeter of square = 4 × Side

↬ Perimeter of triangle = AB + BC + CA

↬ Area of Rectangle = L × B

↬ Area of Square = ( side ) ²

↬ Area of Rhombus = Product of Diagonal/2.

↬ Area of Parallelogram = Base × Height.

↬ Area of triangle = 1/2 × base × height .