Zoey is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of 1/4 inch=19 miles
City X-----------------------------------------City Y
__________3 1/2in_________
What is the actual distance between the two cities?
To find the actual distance between City X and City Y, we first need to calculate the length of the line in the scale drawing.
Given:
Scale: 1/4 inch = 19 miles
Length of line in scale drawing: 3 1/2 inches
Calculating the actual length using the scale:
Actual length = scale length * scale factor
Actual length = (3 1/2 inches) * (19 miles/1/4 inch)
Actual length = 3.5 inches * 19 miles * 4
Actual length = 266 miles
Therefore, the actual distance between City X and City Y is 266 miles.