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

Answer:

The actual length of the bridge is 600 meters

Step-by-step explanation:

we know that

The scale on a map is

$\frac{1}{40,000}$

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

$\frac{1}{400}\frac{cm}{m}$

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

$\frac{1}{400}\frac{cm}{m}=\frac{1.5}{x}\frac{cm}{m}\\\\x=400(1.5)\\\\x=600\ m$