Ally is making a scale diagram of her classroom. She uses a scale factor of 3 centimeters per foot to draw the diagram. The actual length of the classroom is 18 feet, and its width is 20 feet. What is the area of the scale drawing of the classroom?
Answer: \(3240\ cm^2\)
Step-by-step explanation:
Given: The actual length of the classroom= 18 feet
The actual width of the classroom= 20 feet
Scale factor =3 centimeters per foot
i.e. 1 foot = 3 cm
Therefore, The length of the classroom in drawing= \(3\times18=54\ feet\)
The width of the classroom in drawing= \(3\times20=60\ cm\)
Now, the area of the scale drawing of the classroom :-
\(l\times w=54\times60=3240\ cm^2\)
Hence, the area of the scale drawing of the classroom =\(3240\ cm^2\)