A triangle, square, hexagon, and circle all have a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. A terrific task for applying four different area formulas, beginning only with the value of the perimeter.
- The use of the Pythagorean theorem to find the area of the triangle aligns the task to Common Core State Standards
- A thorough commentary is provided, including complete solutions for each shape