What would be the maximum area that could be enclosed by the college’s 380 ft of fencing if it decided to close the entrance by enclosing all four sides of the lot? (See Exercise 73.)

Data from 73

Glenview Community College wants to construct a rectangular parking lot on land bordered on one side by a highway. It has 380 ft of fencing to use along the other three sides. What should be the dimensions of the lot if the enclosed area is to be a maximum? (Let x represent the width of the lot, and let 380 - 2x represent the length.)