Need help working this problem out, any assistance is appreciated.
A dance studio measures 150 feet by 120 feet. A scale drawing of the dance studio floor measures 10 units by 8 units. What scale was used to create the scale drawing?
A) 1 unit: 8 feet
B) 1 unit: 10 feet
C) 1 unit: 15 feet
D) 1 unit: 20 feet
Since 10 times 15 is 150 and 8x15=120 we see that each unit is 15 feet.
To determine the scale used to create the scale drawing, we can calculate the ratio of the dimensions in the actual dance studio to the dimensions in the scale drawing.
First, let's calculate the ratio of the lengths:
Actual length / Scale drawing length = 150 ft / 10 units
Simplifying the ratio, we have:
Actual length / Scale drawing length = 15 ft / 1 unit
Now, let's calculate the ratio of the widths:
Actual width / Scale drawing width = 120 ft / 8 units
Simplifying the ratio, we have:
Actual width / Scale drawing width = 15 ft / 1 unit
Since both ratios simplify to 15 ft / 1 unit, we can conclude that the scale used to create the scale drawing is 1 unit: 15 feet.
Therefore, the correct answer is:
C) 1 unit: 15 feet