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Map scale 1 cm : 2 km, 6 cm on the map

Step by step, with the reason for every step · Scale drawings and maps · Geometry

Step by step

The question

Question: with the scale 1 cm : 2 km, how long is 6 cm on the map for real?

map → real

The scale means: 1 cm on the map is 2 km for real.

1 cm → 2 km

1 Multiply both sides

On the map we have 6 cm.

That is 6 times 1 cm.

So the real length is 6 times 2 km too.

6 cm → 2 × 6 km

We multiply both sides by the same number, 6.

× 6 on both sides

2 times 6 is 12.

So the real length is 12 km.

6 cm → 12 km

2 Check

Let's check: go back.

12 divided by 2 should give the map length, 6.

12 ÷ 2 = 6

We get it again.

So 12 km is right!

Let's look back.

First: multiply both sides.

Last: check.

Answer
6 cm → 12 km

Your turn

Try this one yourself, then check:

Scale 1 cm : 4 km. 6 cm on the map: real length?
Show the answer
24 km

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