Question
Determine the coordinates of the rectangle, then compute the area. A. 26 units^2 B. 52 units^2 C. 22 units^2 D. 11 units^2
Answers
GPT-5 mini
I don’t have the diagram or the given points, so I can’t compute the rectangle’s coordinates or area yet. Please either paste the coordinates or upload the diagram.
While you get that, here are quick steps I’ll follow once you provide the information:
1. Identify the four corner coordinates (from the diagram or from intersections of lines).
2. Order them so adjacent points are next to each other (A→B→C→D).
3. Compute two adjacent side lengths using the distance formula:
length = sqrt((x2−x1)^2 + (y2−y1)^2), width = sqrt((x3−x2)^2 + (y3−y2)^2).
4. Area = length × width.
Alternative methods (if easier):
- If the rectangle’s vertices are (x1,y1),(x2,y2),(x3,y3),(x4,y4) in order, you can use the shoelace formula for area:
Area = 1/2 |sum(xi yi+1 − yi xi+1)| (with x5,y5 = x1,y1).
- If you know two adjacent side vectors v and w, area = |v_x * w_y − v_y * w_x| (magnitude of 2D cross product).
Send the points or image and I’ll compute the coordinates and choose the correct multiple-choice area.
While you get that, here are quick steps I’ll follow once you provide the information:
1. Identify the four corner coordinates (from the diagram or from intersections of lines).
2. Order them so adjacent points are next to each other (A→B→C→D).
3. Compute two adjacent side lengths using the distance formula:
length = sqrt((x2−x1)^2 + (y2−y1)^2), width = sqrt((x3−x2)^2 + (y3−y2)^2).
4. Area = length × width.
Alternative methods (if easier):
- If the rectangle’s vertices are (x1,y1),(x2,y2),(x3,y3),(x4,y4) in order, you can use the shoelace formula for area:
Area = 1/2 |sum(xi yi+1 − yi xi+1)| (with x5,y5 = x1,y1).
- If you know two adjacent side vectors v and w, area = |v_x * w_y − v_y * w_x| (magnitude of 2D cross product).
Send the points or image and I’ll compute the coordinates and choose the correct multiple-choice area.