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Question Number 12 You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the length of a grass median that will be exactly as long as four parking spots and their dividing lines. One of these spots is a handicapped spot, which is 10 116 feet wide and next to the curb. The other three spots are 8 38 feet wide. There are four dividing lines between the spots, and each measures 12 foot. What is the length of the grass median, D?

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Answer:

[tex]Length\: of\: D=37\frac{3}{16} \:feet[/tex]

Step-by-step explanation:

The following are the given information:

  • The handicapped spot, which is [tex]10\frac{1}{16}[/tex] feet wide and next to the curb.
  • The other three spots are [tex]8\frac{3}{8}[/tex] feet wide.
  • There are 4 dividing lines between the spots, and each measures [tex]\frac{1}{2}[/tex] foot.

The Median D therefore will be a sum of the following:

  • The width of the Handicapped Spot
  • 3 X The width of the other spots
  • 4 X The width of the dividing line

[tex]= 10\frac{1}{16} + (3 X 8\frac{3}{8})+(4 X\frac{1}{2})\\=\frac{161}{16} + \frac{3 X 67}{8}+\frac{4}{2}\\=\frac{161}{16} + \frac{201}{8}+\frac{4}{2}\\=\frac{161+402+32}{16}\\=\frac{595}{16}\\Length\: of\: D=37\frac{3}{16} \:feet[/tex]

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