The scale drawing of a living room has the dimensions of 5.5cm x 12cm. if the scale is 1cm is equal to 2 feet, what are the dimensions of the original living room? also, what is the area of the original living room?

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.