Need some help setting this up. Thank you.
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
150 / 10 = 120 / 8 = ? / 1
To find the scale that was used to create the scale drawing, we can compare the measurements of the actual dance studio and the measurements in the scale drawing.
The actual dance studio measures 150 feet by 120 feet.
The scale drawing measures 10 units by 8 units.
We need to determine how many feet is represented by each unit in the scale drawing.
To do this, we can set up a proportion:
Actual measurement / Scale drawing measurement = Actual length of a unit / Length of a unit in the scale drawing
Using the given information:
150 feet / 10 units = Actual length of a unit / Length of a unit in the scale drawing
Simplifying the proportion:
15 feet per unit = Actual length of a unit / Length of a unit in the scale drawing
So, the scale that was used to create the scale drawing is 1 unit: 15 feet.
Therefore, the correct answer is C) 1 unit: 15 feet.