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3. what are the actual dimensions of the parking lot? 1 in. = 200 ft (d…

Question

  1. what are the actual dimensions of the parking lot?

1 in. = 200 ft
(diagram shows a parking lot with labeled 5 in. (vertical) and 1.5 in. (horizontal))

Explanation:

Step1: Determine the scale factor

The scale is \(1\) inch \( = 200\) feet. This means that each inch on the diagram represents \(200\) feet in actual dimensions.

Step2: Calculate the actual length

The length on the diagram is \(5\) inches. To find the actual length, we multiply the diagram length by the scale factor.
\[
\text{Actual Length} = 5 \times 200 = 1000 \text{ feet}
\]

Step3: Calculate the actual width

The width on the diagram is \(1.5\) inches. To find the actual width, we multiply the diagram width by the scale factor.
\[
\text{Actual Width} = 1.5 \times 200 = 300 \text{ feet}
\]

Answer:

The actual dimensions of the parking lot are length \(1000\) feet and width \(300\) feet.