Question

A model house has a scale of 1 in : 9 ft. If

the real house is 18 ft wide, then how
wide is the model house?

Answer 1

The model house is 2 inches wide.

Explanation:

Given that:

Ratio of model house to real width of house = 1 in : 9 ft

Let,

x be the new with of model house

Width of real house = 18 ft

This forms a direct proportion.

Therefore,

1 : 9 :: x : 18

Product of mean = Product of extreme

9x = 18*1

9x=18

Dividing both sides by 9

`(9x)/(9)=(18)/(9)\\x=2`

Hence,

The model house is 2 inches wide.