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A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.

What number of centimeters on the blue print represents an actual distance of 27 meters?

User Munavvar
by
8.9k points

2 Answers

3 votes
54 centimeters

Since you have to multiply 3 by 9 to get 27 meters, you also have to multiply 6 by 9 to get the number of centimeters, which is 54 cm. It’s a ratio problem.

6:3::x:27

x = 54
User Wiley
by
7.7k points
3 votes

Answer:

54 cm

Explanation:

We can use proportions to solve this problem. Put the blue print size on the top and the real life size on the bottom.


6 cm x cm

----------- = -------------

3 meters 27 meter


Using cross products

6* 27 = 3 *x

Divide each side by 3

6/3 * 27 = 3x/3

54= x

User Kocodude
by
8.1k points

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