The city planning committee is discussing making a bike path extension in its city park. They have a $5050 budget for the proposal project. The cost to construct the path is $2.20 per foot. The path would be a straight line from the fountain to the large oak tree. In the right triangle formed, the height is 880 ft and the base is 2112 ft. How much will the path cost? Will this work with the city planning budget? Why or why not?