Final answer:
The sheet metal costs approximately $16 per square foot.
Step-by-step explanation:
To find the cost per square foot of the sheet metal, we can use the equation: 10.8x - 3.7x = 113.6, where x represents the cost per square foot.
Simplifying the equation, we have 7.1x = 113.6. Divide both sides by 7.1 to solve for x, which gives us x ≈ 16.
Therefore, the sheet metal costs approximately $16 per square foot.