The area of the bedroom is 1/75 square inches.
Given that
A scale drawing of a bedroom is shown below.
The scale is 1: 30.
A rectangle is shown.
The length of the rectangle is labeled 3 inches.
The width of the rectangle is labeled 4 inches.
We have to determine
The area of the room.
According to the question
A scale drawing of a bedroom is shown below.
The scale is 1: 30.
The real bedroom is 30 times bigger so we just have to multiply by 30.
The new length of the bedroom is
[tex]= 3 \times \dfrac{1}{30}\\
\\
= \dfrac{1}{10}[/tex]
The new width of the bedroom is
[tex]= 4 \times \dfrac{1}{30}\\\\ = \dfrac{2}{15}[/tex]
Therefore,
The area of the bedroom is,
[tex]\rm Area = length \times width\\
\\
Area = \dfrac{1}{10} \times \dfrac{2}{15}\\
\\
Area = \dfrac{1}{75}[/tex]
Hence, the area of the bedroom is 1/75 square inches.
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