Question

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.​

Answer 1

Answer:

108 m²

Step-by-step explanation:

Let the breadth of each wall be 'x', then the length should be '3x'.

Area of 4 walls = 2(length + breadth)*height

⇒ 144 = 2(3x + x)*3

⇒ 144 = 6(4x)

⇒ 144 = 24x

⇒ 144/24 = x

⇒ 6 = x

Area of the floor = length x breadth

                   = 3x * x

                   = 3x²

                   = 3(6)² = 108 m²

Answer 2

Answer:

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.