The Parking Lot Problem

A local restaurant has a parking lot that is a rectangular area of 50 yards by 40 yards. The current lot has 36 available parking spaces as shown in the drawing. You have been hired by the restaurant owner to determine if it is possible to repaint the parking lot surface to allow for 15 additional parking spaces. There are certain conditions that must be followed:

• Each parking space must be rectangular.
• Each parking space must be at least 9 feet wide by 18 feet long.
• The painted lines separating each parking space must be 4 inches wide.
• The driving aisles in the lot must be at least 24 feet wide for two-way traffic and at least12 feet wide for one-way traffic.

Part B

The Parking Lot Problem Revisited

There has been a change in the parking lot scenario at the restaurant. After consulting with city planners, the restaurant owner has concluded that angled parking spaces may be easier for drivers to navigate than the 90-degree spaces. Angled parking spaces can be entered from only one direction and drivers must enter these spaces head-on. If each parking space in the restaurant lot must now be angled at 60 degrees, how will this new requirement impact the overall number of parking spaces possible?

• Solve this mathematical problem. As you do so:
• Provide evidence of your calculations and draw a representation of the new angled spaces in the parking lot.