A scale drawing of a city has a scale of 3 inches : 400 feet. What is the actual length of each foot in the drawing? Show the work.
Multiply by 4.
3 * 4 = 12 inches
400 * 4 = 1600
1 foot = 1600 feet
To find the actual length of each foot in the drawing, we need to use the given scale.
The scale states that 3 inches on the drawing represents 400 feet in reality.
To find the length of 1 foot in the drawing, we can set up a proportion using the scale:
3 inches / 400 feet = x inches / 1 foot
Cross multiplying, we get:
3 inches * 1 foot = 400 feet * x inches
3 inches * 1 foot = 400 feet * x inches
Multiplying, we get:
3 inches * 1 foot = 400 feet * x inches
3 = 400x
Dividing both sides by 400, we have:
3/400 = x
Simplifying, we get:
0.0075 = x
Therefore, the actual length of each foot in the drawing is 0.0075 inches.