Question
Evan drew a scale drawing of a campground. The picnic area, which is 100 yards long in real life, is 8 inches long in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a ratio, using a colon.
Simplify your answer and write it as a ratio, using a colon.
Answers
GPT-4o mini
To find the scale factor of the drawing, we need to compare the lengths in the real life to the lengths in the drawing.
The real-life length of the picnic area is 100 yards, and the length in the drawing is 8 inches. First, we need to convert the real-life length from yards to inches, since the drawing is in inches.
1 yard = 36 inches, so:
100 yards = 100 × 36 inches = 3600 inches.
Now we can set up the scale factor as a ratio of the drawing length to the real-life length:
Scale factor = Drawing Length : Real Life Length
Scale factor = 8 inches : 3600 inches.
Next, we simplify the ratio:
To simplify, we can divide both sides of the ratio by 8:
8 ÷ 8 : 3600 ÷ 8
1 : 450.
Thus, the scale factor of the drawing is:
**1 : 450**.
The real-life length of the picnic area is 100 yards, and the length in the drawing is 8 inches. First, we need to convert the real-life length from yards to inches, since the drawing is in inches.
1 yard = 36 inches, so:
100 yards = 100 × 36 inches = 3600 inches.
Now we can set up the scale factor as a ratio of the drawing length to the real-life length:
Scale factor = Drawing Length : Real Life Length
Scale factor = 8 inches : 3600 inches.
Next, we simplify the ratio:
To simplify, we can divide both sides of the ratio by 8:
8 ÷ 8 : 3600 ÷ 8
1 : 450.
Thus, the scale factor of the drawing is:
**1 : 450**.