Question

Given the scale drawing of a one bedroom apartment, what is the actual area of the bedroom?

A) 27 ft2
B) 54 ft2
C) 96 ft2
D) 108 ft2

Answer 1

Option D.

Explanation:

From the given figure it is clear that

Length of the bedroom in scale drawing = 2''

Width of the bedroom in scale drawing = 1.5''

It is given that

Scale
`(1)/(2)''=3feet`

`1''=6feet`

Using this conversion we get

`2''=12feet`

`1.5''=9feet`

Actual length of the bedroom = 12 feet

Actual width of the bedroom = 9 feet

Area of a rectangle is

`Area=length* width`

Actual area of the bedroom is

`Area=12* 9`

`Area=108`

The actual area of the bedroom is 108 ft2.

Therefore, the correct option is D.

Answer 2

Answer: Option D.

Explanation:

You can observe that the dimensions of the bedroom in the scale drawing are:

`length=2`

You know that
`(1)/(2)`

Then you need to convert these dimensions to the actual dimensions. So, you get:

`actual\ lenght=((2`

Therefore, you can calculate the actual area of the bedroom. This is:

`Area=(actual\ lenght)(actual\ width)\\Area=(12ft)(9ft)\\Area=108ft^2`