10.The area of four walls of aroom is 144m2. If the length of the room is thrice is
breadth &the height is 3m/ Find the area of the floor.
Answers
Given :-
The area of four walls of a room is 144 m².
The length of the room is thrice is breadth and the height is 3 m.
To Find :-
What is the area of the floor.
Formula Used :
➦ Area of rectangle = Length × Breadth
Solution :
Let, the breadth be b m
Length be 3b m
And, the height will be 3 m
According to the question :
↦ Area of four walls = 144
↦ 2h(l + b) = 144
↦ 2 × 3(3b + b) = 144
↦ 6(4b) = 144
↦ 4b = 144/6
↦ 4b = 24
↦ b = 24/4
➠ b = 6
Therefore, the breadth is 6 m.
Hence, the length will be :
➲ Length :
↦ 3b m
↦ 3(6) m
↦ 3 × 6 m
➠ 18 m
Now, we have to find the area of the floor :
↦ Area of the floor = Length × Breadth
↦ Area of the floor = 18 m × 6 m
➠ Area of the floor = 108 m²
∴ The area of the floor is 108 m².
Step-by-step explanation:
given
•The area of four walls of a room is 144 m².
•The length of the room is thrice is breadth and the height is 3 m.
•Area of rectangle = Length × Breadth
Solution :
And, the height will be 3 m
According to the question :
Area of four walls = 144
2h(l + b) = 144
2 × 3(3b + b) = 144
6(4b) = 144
4b = 144/6
4b = 24
b = 24/4
b = 6
Therefore, the breadth is 6 m.
Length :
3 (b) m
3(6) m
3 × 6 m
= 18 m
Area of the floor = Length × Breadth
Area of the floor = 18 m × 6 m
Area of the floor = 108 m²