Answer: To calculate the cost of having 1100 square feet installed by the contractor at the given rate, we can set up a proportion using the ratio of the cost to the area.
Let C1 be the cost for 1204 square feet, and C2 be the cost for 1100 square feet.
The proportion can be written as:
C1 / 1204 = C2 / 1100.
Now, let's solve for C2:
C2 = (C1 * 1100) / 1204.
Given that C1 = 1204 (the cost for 100 ft²), we can substitute it into the equation:
C2 = (1204 * 1100) / 1204.
Now, calculate the value of C2:
C2 = 1100.
So, the cost to have 1100 square feet installed by the contractor at the given rate is $1100.