A town planner is using a map of a town centre with a scale of 1: 1250
A path in the town is 8cm long on the map. How long is the path in the town? Give your answers in metres.
how do i work this out??
set up the proportion:
1/1250 = 8/x
x=1250*8 cm
= 10000 cm
=100 m
To solve this problem, you need to set up a proportion using the given scale. The scale of the map is 1:1250, which means that 1 cm on the map represents 1250 cm in the town.
Let's set up the proportion:
1 cm on the map / 1250 cm in the town = 8 cm on the map / x cm in the town
Now we can solve for x by cross-multiplying:
1 * x = 8 * 1250
x = 10000 cm
To convert the answer to meters, we divide by 100 since there are 100 centimeters in a meter:
10000 cm / 100 = 100 m
Therefore, the length of the path in the town is 100 meters.