A model house is 12 cm wide. If it was built with a scale of 3 cm : 4 m then how wide is the real house?

Answer 1

To find the width of the real house, we can use the scale factor.

The scale is given as 3 cm : 4 m, which can be written as a ratio:

3 cm / 4 m

Since the model house is 12 cm wide, we can set up a proportion to solve for the width of the real house (x):

3 cm / 4 m = 12 cm / x

Cross-multiplying, we have:

3 cm * x = 4 m * 12 cm

Canceling out the cm units, we get:

3x = 48 m

Dividing both sides by 3, we find:

x = 16 m

Therefore, the real house is 16 meters wide.