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