Question

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?

Answer 1

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

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
`y\ cm.`

Now, solving by cross multiplication method:

`(1)/(2) =(5.5)/(y)`

By cross multiplying we get:

`y=11`

Again:

`(1)/(2) =(12)/(y)`

By cross multiplying we get:

`y=24`

Thus, the original dimensions are 11 feet × 24 feet.

The original dimensions are 11 feet × 24 feet.

Now, the area of original living room:

`Area = 11* 24\\Area = 264\ feet^2.`

And the area is 264 feet².

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