For this problem we can use a proportion to solve.
Set up the proportion.
[tex]\frac{1200}{100} = \frac{p}{1100}\\[/tex]
Cross multiply.
[tex]1200 * 1100 = 100 * p\\1320000 = 100p[/tex]
Divide.
[tex]\frac{1320000}{100} = \frac{100}{100}p\\13200 = p[/tex]
So, it would cost $13,200 to have a 1,100 square foot roof installed.