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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

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 class=

Respuesta :

luisejr77

Answer: Option D.

Step-by-step explanation:

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

[tex]length=2"\\width=1.5"[/tex]

You know that [tex]\frac{1}{2}"=3feet[/tex]

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

[tex]actual\ lenght=\frac{(2")(3ft)}{\frac{1}{2}" }=12ft\\\\actual\ width=\frac{(1.5")(3ft)}{\frac{1}{2}" }=9ft[/tex]

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

[tex]Area=(actual\ lenght)(actual\ width)\\Area=(12ft)(9ft)\\Area=108ft^2[/tex]

Answer:

Option D.

Step-by-step 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 [tex]\frac{1}{2}''=3feet[/tex]

[tex]1''=6feet[/tex]

Using this conversion we get

[tex]2''=12feet[/tex]

[tex]1.5''=9feet[/tex]

Actual length of the bedroom = 12 feet

Actual width of the bedroom = 9 feet

Area of a rectangle is

[tex]Area=length\times width[/tex]

Actual area of the bedroom is

[tex]Area=12\times 9[/tex]

[tex]Area=108[/tex]

The actual area of the bedroom is 108 ft2.

Therefore, the correct option is D.