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

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 $y\ cm.$

Now, solving by cross multiplication method:

$\frac{1}{2} =\frac{5.5}{y}$

By cross multiplying we get:

$y=11$

Again:

$\frac{1}{2} =\frac{12}{y}$

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:

$Area = 11\times 24\\Area = 264\ feet^2.$

And the area is 264 feet².

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