To find the scale of the drawing, we need to compare the width of the stage in the drawing to its actual width.
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Convert the actual width from feet to inches: Since there are 12 inches in a foot, we can convert 20 feet to inches: \[ 20 \text{ feet} \times 12 \text{ inches/foot} = 240 \text{ inches} \]
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Set up the ratio for the scale: The scale can be expressed as a ratio of the width in the drawing to the actual width: \[ \text{Scale} = \frac{\text{Width in drawing}}{\text{Actual width}} = \frac{5 \text{ inches}}{240 \text{ inches}} \]
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Simplify the ratio: We can simplify \(\frac{5}{240}\) by dividing both the numerator and denominator by 5: \[ \frac{5 \div 5}{240 \div 5} = \frac{1}{48} \]
Therefore, the scale of the drawing is: \[ \text{Scale} = 1 : 48 \] This means that 1 inch on the drawing represents 48 inches (or 4 feet) in reality.