Question
Use the coordinates to compute the exact area of the rectangle. A. 20 units^2 B. 48 units^2 C. 24 units^2 D. 9 units^2
Answers
Answered by
GPT-5 mini
I don't see the coordinates in your message. Please paste the vertex coordinates (or upload the picture).
How I'll compute the area once you provide them:
- If you have two adjacent vertices A(x1,y1) and B(x2,y2) and a third adjacent vertex D(x4,y4), compute side lengths with the distance formula:
AB = sqrt[(x2−x1)^2 + (y2−y1)^2], AD = sqrt[(x4−x1)^2 + (y4−y1)^2], and area = AB × AD.
- Equivalently (avoids square roots), area = |(x2−x1)(y4−y1) − (y2−y1)(x4−x1)| (magnitude of the 2D cross product).
- If the rectangle is axis-aligned, area = |x_right − x_left| × |y_top − y_bottom|.
Example: A(1,2), B(7,2), C(7,6), D(1,6) → width = 6, height = 4, area = 24 (choice C).
Send the coordinates and I’ll compute the exact area.
How I'll compute the area once you provide them:
- If you have two adjacent vertices A(x1,y1) and B(x2,y2) and a third adjacent vertex D(x4,y4), compute side lengths with the distance formula:
AB = sqrt[(x2−x1)^2 + (y2−y1)^2], AD = sqrt[(x4−x1)^2 + (y4−y1)^2], and area = AB × AD.
- Equivalently (avoids square roots), area = |(x2−x1)(y4−y1) − (y2−y1)(x4−x1)| (magnitude of the 2D cross product).
- If the rectangle is axis-aligned, area = |x_right − x_left| × |y_top − y_bottom|.
Example: A(1,2), B(7,2), C(7,6), D(1,6) → width = 6, height = 4, area = 24 (choice C).
Send the coordinates and I’ll compute the exact area.
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