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Create two polygons on the coordinate plane with a perimeter of 12 units but different areas. Include the area and perimeter of each polygon.

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Final answer:

To create two polygons on the coordinate plane with a perimeter of 12 units but different areas, you can consider a triangle and a rectangle. The triangle has an area of 8 square units and the rectangle has an area of 18 square units.

Step-by-step explanation:

To create two polygons on the coordinate plane with a perimeter of 12 units but different areas, we can consider a triangle and a rectangle.

Triangle:

  • Vertices: (0, 0), (4, 0), (0, 4)
  • Perimeter: 4 + 4 + 4 = 12 units
  • Area: 1/2 * base * height = 1/2 * 4 * 4 = 8 square units

Rectangle:

  • Vertices: (0, 0), (6, 0), (6, 3), (0, 3)
  • Perimeter: 6 + 3 + 6 + 3 = 18 units
  • Area: Length * Width = 6 * 3 = 18 square units

Therefore, the area of the triangle is 8 square units, and the area of the rectangle is 18 square units.

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