To convert the actual length of the front patio to the length in the drawing using the given scale, you can set up a proportion based on the scale provided.
The scale of the drawing is 4 centimeters for every 3 meters.
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Set up the proportion using the actual length of the patio. \[ \frac{4 \text{ cm}}{3 \text{ m}} = \frac{x \text{ cm}}{24 \text{ m}} \]
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Cross-multiply to solve for \( x \): \[ 4 \text{ cm} \times 24 \text{ m} = 3 \text{ m} \times x \text{ cm} \] \[ 96 = 3x \]
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Now, solve for \( x \): \[ x = \frac{96}{3} = 32 \]
Therefore, the length of the patio in the drawing is 32 centimeters.