Question

The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1:40,000

Answer 1

I was surprised that you cheated on Rsm, so I told my father-who is an algebra teacher at RSM

Answer 2

The actual length of the bridge is 600 meters

Explanation:

we know that

The scale on a map is

`(1)/(40,000)`

That means

1 unit on a map represent 40,000 units in the actual

1 cm on a map represent 40,000 cm in the actual

Remember that

`1/ m=100/ cm`

so

`40,000\ cm=40,000/100=400\ m`

we can rewrite the scale as

`(1)/(400)(cm)/(m)`

using proportion

Find out the actual length of the bridge in meters if the length of a bridge on a map is 1.5 cm.

Let

x ----> the the actual length of the bridge in meters

`(1)/(400)(cm)/(m)=(1.5)/(x)(cm)/(m)\\\\x=400(1.5)\\\\x=600\ m`