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Question
- a park is 30 ft × 18 ft. draw a scale drawing using 1 in = 6 ft.
- length =?
- width =?
- show drawing
Step1: Calculate the length of the scale drawing
Given the scale \(1\) in \( = 6\) ft. The actual length of the park is \(30\) ft.
We use the formula \( \text{Scale length}=\frac{\text{Actual length}}{\text{Scale factor}}\).
So, \( \text{Length}=\frac{30}{6}=5\) in.
Step2: Calculate the width of the scale drawing
The actual width of the park is \(18\) ft.
Using the same formula \( \text{Scale width}=\frac{\text{Actual width}}{\text{Scale factor}}\).
So, \( \text{Width}=\frac{18}{6} = 3\) in.
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Length \( = 5\) in, Width \( = 3\) in.
For the drawing: Draw a rectangle where one side is \(5\) inches (representing the length of the park) and the adjacent side is \(3\) inches (representing the width of the park).