Question
Kathleen measured a house and its lot and made a scale drawing. The scale of the drawing was 4 centimeters : 3 meters. The actual length of the front patio is 24 meters. How long is the patio in the drawing?
centimeters
centimeters
Answers
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Answered by
GPT-4o mini
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.
1. Set up the proportion using the actual length of the patio.
\[
\frac{4 \text{ cm}}{3 \text{ m}} = \frac{x \text{ cm}}{24 \text{ m}}
\]
2. Cross-multiply to solve for \( x \):
\[
4 \text{ cm} \times 24 \text{ m} = 3 \text{ m} \times x \text{ cm}
\]
\[
96 = 3x
\]
3. Now, solve for \( x \):
\[
x = \frac{96}{3} = 32
\]
Therefore, the length of the patio in the drawing is **32 centimeters**.
The scale of the drawing is 4 centimeters for every 3 meters.
1. Set up the proportion using the actual length of the patio.
\[
\frac{4 \text{ cm}}{3 \text{ m}} = \frac{x \text{ cm}}{24 \text{ m}}
\]
2. Cross-multiply to solve for \( x \):
\[
4 \text{ cm} \times 24 \text{ m} = 3 \text{ m} \times x \text{ cm}
\]
\[
96 = 3x
\]
3. Now, solve for \( x \):
\[
x = \frac{96}{3} = 32
\]
Therefore, the length of the patio in the drawing is **32 centimeters**.
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