Final answer:
The length of the 12th hole on the map is 390 yards, calculated using a proportion based on the scale where 1.5 inches represent 45 yards.
Step-by-step explanation:
The question asks how long the 12th hole is on a golf course map, given that 1.5 inches represent 45 yards and the map shows the 12th hole as occupying 13 inches.
To solve this, we will use a proportion.
First, set up the proportion using the given scale:
- 1.5 inches = 45 yards
- 13 inches = x yards (where x is the length we want to find)
Now, solve for x using cross multiplication:
1.5x = 45 × 13
Calculate the right side:
1.5x = 585
Divide both sides by 1.5 to solve for x:
x = 585 ÷ 1.5
x = 390 yards
Therefore, the length of the 12th hole is 390 yards.