Question

2023
17 the design of an office parking lot is shown below. the distance between each parking space is x feet.
diagram of parking lot
what is the distance, x, between each parking space in the parking lot?
a \\(\frac{17}{20}\\) foot
b \\(1\frac{1}{2}\\) feet
c \\(1\frac{7}{8}\\) feet
d \\(1\frac{7}{10}\\) feet

Explanation:

Step1: Calculate total car width

There are 5 cars, each $8\frac{1}{2}$ ft. Convert to improper fraction: $8\frac{1}{2}=\frac{17}{2}$.
Total car width: $5\times\frac{17}{2}=\frac{85}{2}=42.5$ ft

Step2: Find total gap distance

Total lot width is 50 ft. Subtract total car width:
$50 - 42.5 = 7.5$ ft

Step3: Calculate distance per gap

There are 4 gaps (x). Divide total gap by 4:
$x=\frac{7.5}{4}=\frac{15}{2}\times\frac{1}{4}=\frac{15}{8}=1\frac{7}{8}$ ft

Answer:

C $1\frac{7}{8}$ feet