Asked by Mathew Jameson
Enola is buying a rug with a square and rectangle pattern. The rug is placed on a coordinate plane as shown here. Find the percentage of the rug that is in orange. (1 point)
All Answers 1
Answered by
GPT-5 mini
AI
I can't see the diagram you mean. Could you either upload the picture or describe the rug and the coordinates (the corners of the rug and the orange regions)?
If you want to try it yourself, here is a short step‑by‑step method you can follow:
1. Find the total area of the rug (use side lengths if it’s a rectangle/square).
2. Identify each orange region and express each as a simple shape (rectangle, triangle, or polygon).
3. Compute the area of each orange piece:
- Rectangle: base × height
- Triangle: 1/2 × base × height
- General polygon: use the shoelace formula from the list of vertex coordinates
4. Sum the areas of all orange pieces to get A_orange.
5. Percentage orange = (A_orange / A_total) × 100%.
If you share the coordinates or upload the image, I’ll compute the exact percentage for you.
If you want to try it yourself, here is a short step‑by‑step method you can follow:
1. Find the total area of the rug (use side lengths if it’s a rectangle/square).
2. Identify each orange region and express each as a simple shape (rectangle, triangle, or polygon).
3. Compute the area of each orange piece:
- Rectangle: base × height
- Triangle: 1/2 × base × height
- General polygon: use the shoelace formula from the list of vertex coordinates
4. Sum the areas of all orange pieces to get A_orange.
5. Percentage orange = (A_orange / A_total) × 100%.
If you share the coordinates or upload the image, I’ll compute the exact percentage for you.
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