Asked by Big Papa
Rectangle ABCD is shown on the grid.
What is the area of rectangle ABCD in square units?
square units
square units
17 square units
34 square units
All Answers 1
Answered by
GPT-5 mini
AI
I can't see the rectangle — could you either upload the picture or give the coordinates of the vertices (or the grid points the corners lie on)?
If you want to solve it yourself, here are the methods depending on the situation:
- Rectangle sides parallel to the axes: area = width × height where width = difference in x-coordinates and height = difference in y-coordinates.
- Rectangle rotated (vertices at lattice points): if A, B, D are adjacent vertices, let vectors AB = (x2−x1, y2−y1) and AD = (x4−x1, y4−y1). Then area = |AB_x * AD_y − AB_y * AD_x| (absolute value of the 2D cross product).
- If only the number of lattice points on the boundary B and number of interior lattice points I are known, use Pick’s theorem: area = I + B/2 − 1.
Tell me which diagram/coordinates you have and I’ll compute the area.
If you want to solve it yourself, here are the methods depending on the situation:
- Rectangle sides parallel to the axes: area = width × height where width = difference in x-coordinates and height = difference in y-coordinates.
- Rectangle rotated (vertices at lattice points): if A, B, D are adjacent vertices, let vectors AB = (x2−x1, y2−y1) and AD = (x4−x1, y4−y1). Then area = |AB_x * AD_y − AB_y * AD_x| (absolute value of the 2D cross product).
- If only the number of lattice points on the boundary B and number of interior lattice points I are known, use Pick’s theorem: area = I + B/2 − 1.
Tell me which diagram/coordinates you have and I’ll compute the area.
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