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Map scale 1 mm : 2 m, 35 mm 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 mm : 2 m, how long is 35 mm on the map for real?

map → real

The scale means: 1 mm on the map is 2 m for real.

1 mm → 2 m

1 Multiply both sides

On the map we have 35 mm.

That is 35 times 1 mm.

So the real length is 35 times 2 m too.

35 mm → 2 × 35 m

We multiply both sides by the same number, 35.

× 35 on both sides

2 times 35 is 70.

So the real length is 70 m.

35 mm → 70 m

2 Check

Let's check: go back.

70 divided by 2 should give the map length, 35.

70 ÷ 2 = 35

We get it again.

So 70 m is right!

Let's look back.

First: multiply both sides.

Last: check.

Answer
35 mm → 70 m

Your turn

Try this one yourself, then check:

Scale 1 mm : 4 m. 30 mm on the map: real length?
Show the answer
120 m

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