What would I pay for a 24 x 11 square foot room at 45 cents per square foot

The room is 24 feet by 11 feet, right? How high is the ceiling - is it 8 feet? And are you looking to sheet rock the ceiling too, or just the walls?

Assuming 8-foot ceiling, the square footage of the walls is 2x8x24 + 2x8x11 = 384+176 = 560 sq ft. At $0.45/sq-ft the cost would be 560 x 0.45 = $252.

If you add the ceiling the cost is $0.45 x 24 x 11 = $118.80.