Question

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

Answer 1

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.