What you’ll learn
Find area using coordinates.
Key idea
Area measures the enclosed region in square coordinate units, not the sum around its boundary.
Multiply width by perpendicular height; boundary sums measure a different quantity.
Worked example
Enter the exact value or ordered values in the format requested below.
The plot connects A-B-C-D-A as a rectangle. Find the enclosed area in square coordinate units; x horizontal, y vertical.
Marked coordinates: D=(-3, 1); C=(3, 1); A=(-3, -3); B=(3, -3).
- Width=6, perpendicular height=4 from the coordinate differences.
- Area=6*4=24 square units.
Answer: 24
Quick Check
Relate the graph used in 'Find area using coordinates' to an equation, table, transformation, or verbal description.
Connect the rectangle plot to its enclosed-area formula and justify the square-unit quantity; x horizontal, y vertical.
Marked coordinates: D=(-3, 6); C=(0, 6); A=(-3, 1); B=(0, 1).