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.
Answers
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 ★
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
, 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 .