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Map scale 1 cm : 15 km, 4.2 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 : 15 km, how long is 4.2 cm on the map for real?

map → real

The scale means: 1 cm on the map is 15 km for real.

1 cm → 15 km

1 Multiply both sides

On the map we have 4.2 cm.

That is 4.2 times 1 cm.

So the real length is 4.2 times 15 km too.

4.2 cm → 15 × 4.2 km

We multiply both sides by the same number, 4.2.

× 4.2 on both sides

Forget the points: 15 times 42 is 630.

The numbers have 1 digit after the point.

So the answer has 1 too: 63.0, which is 63.

15 × 42 = 630 → 63.0

So the real length is 63 km.

4.2 cm → 63 km

2 Check

Let's check: go back.

63 divided by 15 should give the map length, 4.2.

63 ÷ 15 = 4.2

We get it again.

So 63 km is right!

Let's look back.

First: multiply both sides.

Last: check.

Answer
4.2 cm → 63 km

Your turn

Try this one yourself, then check:

Scale 1 cm : 10 km. 3.4 cm on the map: real length?
Show the answer
34 km

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