Answer:
The original living room dimensions are 11 feet × 24 feet and the area is 264 feet².
Step-by-step explanation:
Given:
The scale drawing of a living room has the dimensions of 5.5cm x 12cm.
If the scale is 1 cm is equal to 2 feet.
Now, to find the dimensions of original living room and the area of the original living room.
As given 1 cm is equal to 2 feet.
So, 1 cm is equivalent to 2 feet.
Now, let the original dimension be 
Now, solving by cross multiplication method:

By cross multiplying we get:

Again:

By cross multiplying we get:

Thus, the original dimensions are 11 feet × 24 feet.
The original dimensions are 11 feet × 24 feet.
Now, the area of original living room:

And the area is 264 feet².
Therefore, the original living room dimensions are 11 feet × 24 feet and the area is 264 feet².