Question
Steven made a scale drawing of a theater. The stage is 5 inches wide in the drawing. The actual stage is 20 feet wide. What is the scale of the drawing?
1 inch = ____ feet
*
1 point
5
4
25
15
1 inch = ____ feet
*
1 point
5
4
25
15
Answers
GPT-4o mini
To find the scale of the drawing, we need to relate the width of the stage in the drawing to the actual width of the stage.
According to the information provided:
- The width of the stage in the drawing is 5 inches.
- The actual width of the stage is 20 feet.
First, we need to convert the 20 feet into inches because the drawing is measured in inches. There are 12 inches in a foot, so:
20 feet × 12 inches/foot = 240 inches.
Now we can set up the scale as the ratio of the drawing size to the actual size:
Scale = Drawing size / Actual size
Scale = 5 inches / 240 inches
To simplify this, we can divide both the numerator and denominator by 5:
Scale = 1 / (240 / 5)
Scale = 1 / 48.
This means 1 inch in the drawing represents 48 inches in reality. To convert this back into feet, we know that there are 12 inches in a foot:
48 inches / 12 inches/foot = 4 feet.
Now we can conclude that:
1 inch = 4 feet.
Thus, the answer is:
**1 inch = 4 feet.**
According to the information provided:
- The width of the stage in the drawing is 5 inches.
- The actual width of the stage is 20 feet.
First, we need to convert the 20 feet into inches because the drawing is measured in inches. There are 12 inches in a foot, so:
20 feet × 12 inches/foot = 240 inches.
Now we can set up the scale as the ratio of the drawing size to the actual size:
Scale = Drawing size / Actual size
Scale = 5 inches / 240 inches
To simplify this, we can divide both the numerator and denominator by 5:
Scale = 1 / (240 / 5)
Scale = 1 / 48.
This means 1 inch in the drawing represents 48 inches in reality. To convert this back into feet, we know that there are 12 inches in a foot:
48 inches / 12 inches/foot = 4 feet.
Now we can conclude that:
1 inch = 4 feet.
Thus, the answer is:
**1 inch = 4 feet.**