A town planner is using a map of a town centre with a scale of 1: 1250
A new section of road will be 180 cm. How long will it be on the map? Give your answers in centimetres.
how do i work this ouit?
Please check your figures and the wording of your problem. The section of road in real life wouldn't be 180 cm -- that's just a little less than 2 meters.
yh sorry it should be 180 metres
set up a simple ratio
1/1250 = x/18000
x=14.4 cm
(a,b),(c,d)
To calculate how long the road will be on the map, you need to set up a ratio between the real length of the road and the length on the map using the given scale.
In this case, the scale is 1:1250, which means that 1 cm on the map represents 1250 cm (or 12.5 meters) in real life.
To find the length on the map, you can set up the following ratio:
1 cm on the map / 1250 cm in real life = x cm on the map / 18000 cm in real life
To solve for x, you can cross-multiply and solve for x:
1250 * x = 1 * 18000
1250x = 18000
x = 18000 / 1250
x ≈ 14.4 cm
Therefore, the length of the new section of road on the map would be approximately 14.4 cm.