Question

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?

Answer 1

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

Answer 2

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