Question
a contractor is given a scale drawing of a rectangular patio. the scale from the patio to the drawing is 4ft to 1 in. whats the area of the real patio?
Answers
GPT-4o mini
To calculate the area of the real patio based on the scale drawing, we first need to understand the relationship between the dimensions on the drawing and the actual dimensions of the patio.
The scale provided is 4 feet to 1 inch. This means that for every inch on the drawing, the actual patio measures 4 feet.
To find the area of the actual patio, we need the dimensions (length and width) from the scale drawing. However, since those dimensions aren't provided in your question, I will describe how you would calculate the area once you have them.
1. **Obtain the dimensions from the drawing**: Let's say the length of the patio on the drawing is \( L_{\text{drawing}} \) inches and the width is \( W_{\text{drawing}} \) inches.
2. **Convert the dimensions to actual size**:
- Actual length: \( L_{\text{actual}} = L_{\text{drawing}} \times 4 \) feet
- Actual width: \( W_{\text{actual}} = W_{\text{drawing}} \times 4 \) feet
3. **Calculate the area of the actual patio**:
\[
\text{Area}_{\text{actual}} = L_{\text{actual}} \times W_{\text{actual}}
\]
\[
\text{Area}_{\text{actual}} = (L_{\text{drawing}} \times 4) \times (W_{\text{drawing}} \times 4) = L_{\text{drawing}} \times W_{\text{drawing}} \times 16 \text{ square feet}
\]
Once you provide the dimensions from the drawing, you can plug them into the formula above to find the area of the real patio.
The scale provided is 4 feet to 1 inch. This means that for every inch on the drawing, the actual patio measures 4 feet.
To find the area of the actual patio, we need the dimensions (length and width) from the scale drawing. However, since those dimensions aren't provided in your question, I will describe how you would calculate the area once you have them.
1. **Obtain the dimensions from the drawing**: Let's say the length of the patio on the drawing is \( L_{\text{drawing}} \) inches and the width is \( W_{\text{drawing}} \) inches.
2. **Convert the dimensions to actual size**:
- Actual length: \( L_{\text{actual}} = L_{\text{drawing}} \times 4 \) feet
- Actual width: \( W_{\text{actual}} = W_{\text{drawing}} \times 4 \) feet
3. **Calculate the area of the actual patio**:
\[
\text{Area}_{\text{actual}} = L_{\text{actual}} \times W_{\text{actual}}
\]
\[
\text{Area}_{\text{actual}} = (L_{\text{drawing}} \times 4) \times (W_{\text{drawing}} \times 4) = L_{\text{drawing}} \times W_{\text{drawing}} \times 16 \text{ square feet}
\]
Once you provide the dimensions from the drawing, you can plug them into the formula above to find the area of the real patio.