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Answer:
y=(5/3)x
Step-by-step explanation:
Since y varies directly with x, then the constant of proportionality is equal to k=y/x. Since y/x=20/12=5/3, then k=5/3. This means the equation to relate x and y is y=(5/3)x
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Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.
Given:
Perimeter of the floor of a room = 18 metre
Height of the room = 3 metre
To find:
The area of 4 walls of the room.
Solution:
We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.
The curved surface area of the cuboid is

Where, h is height, l is length and b is breadth.
Perimeter of the rectangular base is 2(l+b). So,

Putting the given values, we get


Therefore, the area of 4 walls of the room is 54 sq. metres.