Question

the area of four walls of a room is 144 m square if the length of the room is thrice is breadth and the height is 3 M find the area of the floor

Answer 1

Hello mate,

Let the breadth  of the room be x meters,

Then the length of the room is 3x meters

and the height of the room is 3 meters

and it is given that area of the 4 walls=144 m square

This implies,

The lateral surface area of the room=144 m square

2(length+breadth)*height=144 m square

2(3x+x)*3m=144 m

3x+x=144/2*3

4x=24m

x=24/4=6m

So,The breadth of the room =x=6 m

and,The length of the room =3 x=3*6=18 m

So,The area of the base =length *breadth=6 m*18 m=108 m  square

Thanks for questioning..

Answer 2

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(l + b)*h

⇒ 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