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?
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.