two towns that are 31.5 km apart are 3 cm apart on a map what is the scale of the map
I am sorry but thats not listed as one of the answers
Is there a typo?
Oh ther is
scale is
31.5 km : 3 cm
= 31.5(1000)(100)cm : 3 cm
= 3,150,000 : 3
= 1,050,000 : 1
To find the scale of the map, we need to determine the relationship between the physical distance on the map and the actual distance on the ground.
Given that two towns that are 31.5 km apart are represented as 3 cm apart on the map, we can set up the following proportion:
31.5 km = 3 cm
To find the scale of the map, we need to convert both the distance on the map and the actual distance to the same unit. Let's convert 31.5 km to cm:
1 km = 100,000 cm (since there are 100,000 cm in 1 km)
31.5 km = 31.5 x 100,000 cm = 3,150,000 cm
Now, let's set up and solve the proportion to find the scale:
31.5 km / 3,150,000 cm = 3 cm / x
Cross-multiplying:
31.5 km * x = 3 cm * 3,150,000 cm
31.5 km * x = 9,450,000 cm²
Dividing both sides by 31.5 km:
x = 9,450,000 cm² / 31.5 km
x ≈ 300,000 cm/km
Therefore, the scale of the map is approximately 300,000 cm/km. This means that every 1 cm on the map represents 300,000 cm (or 3 km) on the ground.
Multiply by 2.
6cm = 63 km
Divide by 6.
1cm = 1.5km