Questions: Find the missing dimension. Use the scale 1:5.

Find the missing dimension. Use the scale 1:5.
Transcript text: Find the missing dimension. Use the scale $1: 5$.
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Solution

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Solution Steps

Step 1: Problem 4

The scale is 1 : 5. Model : Actual = 1 : 5 Model = 3 ft Let the actual measurement be \(x\) ft. So, \(\frac{3}{x} = \frac{1}{5}\). Cross-multiplying, we get \(x = 3 \times 5 = 15\) ft.

Step 2: Problem 5

The scale is 1 : 5. Model : Actual = 1 : 5 Model = 7 m Let the actual measurement be \(x\) m. So, \(\frac{7}{x} = \frac{1}{5}\). Cross-multiplying, we get \(x = 7 \times 5 = 35\) m.

Step 3: Problem 6

The scale is 1 : 5. Model : Actual = 1 : 5 Actual = 20 yd Let the model measurement be \(x\) yd. So, \(\frac{x}{20} = \frac{1}{5}\). Cross-multiplying, we get \(5x = 20\). Dividing both sides by 5, we get \(x = \frac{20}{5} = 4\) yd.

Final Answer

  1. Actual: \(\boxed{15}\) ft
  2. Actual: \(\boxed{35}\) m
  3. Model: \(\boxed{4}\) yd
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