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?
A. 54 square centimeters
B. 60 square centimeters
C. 360 square centimeters
D. 3,240 square centimeters
Answers
Answer:
d............. 3240Square cm
Given:
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.
To find:
What is the area of the scale drawing of the classroom?
Solution:
From the given information, we have the data as follows.
Ally 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.
Firstly, we will use unit conversion.
[ cm/ ft ] × [ ft ] = [ cm ]
Consider the width.
(3/1) × 20 = 60 cm
Consider the length.
(3/1) × 18 = 54 cm
Therefore, the area of the scale drawing of the classroom = area of the rectangle.
= 60 × 54
= 3240 cm²
Therefore, the area of the scale drawing of the classroom is 3240 cm².
Thus, the option D. 3,240 square centimeters is correct.