Off the Roof

In order to install cedar shingles on a roof, the builder must create at least a 5:12 ratio between the height of the attic and the
half-width of the house.  As shown in the diagram below:

If you want a 24 foot wide house, what is the height that the attic can have?
For a 30 foot wide home, what is the attic height?

What is the width of the house if the attic height is 8 feet?

The only requirement for the shingle installation is the minimum height of the attic to the fixed width.  Would there be a maximum
height as well?  Why or why not?

If you wished to build a playhouse in the back yard that was 1/4 scale of your 30 foot wide home, what would be the height
and width dimensions?