A parking lot is being redesigned. The lot is 40 yds x 50yds. The owner wants to repaint the parking lot to allow for 51 spaces. Spaces must be rectangular and 9 feet wide by 18 feet long. The painted stripes separating the spaces must be 4 inches wide. The driving aisles must be 24 feet wide for two-way traffic and 12 feet wide for one-way traffic. What is the best design? How can this be proven using geometry?

Question

A parking lot is being redesigned. The lot is 40 yds x 50yds. The owner wants to repaint the parking lot to  allow for 51 spaces. Spaces must be rectangular and 9 feet wide by 18 feet long. The painted stripes separating the spaces must be 4 inches wide. The driving aisles must be 24 feet wide for two-way traffic and 12 feet wide for one-way traffic. What is the best design? How can this be proven using geometry?