Given a bedroom of the measurement on a scale drawing as
[tex]6\frac{3}{4}^{\doubleprime}\text{ by 4}\frac{1}{2}^{\doubleprime}[/tex]
On an architectural drawing, the scale is
[tex]\frac{1}{4}^{\doubleprime}=1^{\prime}[/tex]
Converting the measurements of the bedroom into inches,
Where,
[tex]1^{\prime}=12^{\doubleprime}=1ft[/tex][tex]\begin{gathered} 6\frac{3}{4}^{\doubleprime}=\frac{27}{4}^{\doubleprime} \\ 4\frac{1}{2}^{\doubleprime}=\frac{9}{2}^{\doubleprime} \end{gathered}[/tex]
The measurement of the room will be,
[tex]\begin{gathered} \frac{1}{4}^{\doubleprime}=1^{\prime}\text{ (on the scale drawing)} \\ \frac{27}{4}^{\doubleprime}=\frac{27}{4}\times\frac{1}{\frac{1}{4}}=\frac{27}{4}\times\frac{4}{1}=27^{\prime\text{ }}(i.e\text{ 27ft)} \\ \frac{9}{2}^{\doubleprime}=\frac{9}{2}\times\frac{1}{\frac{1}{4}}=\frac{9}{2}\times\frac{4}{1}=18^{\prime\text{ }}(i.e\text{ 18ft)} \end{gathered}[/tex]
Recall that,
[tex]1^{\prime}=1ft[/tex]
Hence, the answer is option C (18ft by 27ft)
