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3. a playground is 24 ft × 16 ft. draw at 1 in = 4 ft.

Question

  1. a playground is 24 ft × 16 ft. draw at 1 in = 4 ft.

Explanation:

Step1: Calculate the length on the drawing

The actual length is \(24\) ft. Given the scale \(1\) in \( = 4\) ft. Let \(x\) be the length on the drawing. Using the proportion \(\frac{\text{length on drawing}}{\text{actual length}}=\frac{1}{4}\), so \(x=\frac{24}{4}\)

$$x = 6$$

Step2: Calculate the width on the drawing

The actual width is \(16\) ft. Let \(y\) be the width on the drawing. Using the proportion \(\frac{\text{width on drawing}}{\text{actual width}}=\frac{1}{4}\), so \(y=\frac{16}{4}\)

$$y = 4$$

Answer:

The dimensions on the drawing are \(6\) in \(\times4\) in.