A rectangle has the same area as a 6×8 rectangle. List 4 other possible dimensions and explain your thinking.
Design a rectangular playground with exactly 180 square meters. What dimensions would you choose and why?
Investigate: How does the area change when you double just the length? Just the width? Both dimensions?
A farmer has 100 meters of fencing. What rectangle dimensions give the maximum area? Prove your answer.
Compare rectangles and squares: If they have the same area, which has the smaller perimeter? Explain.
Create a real-world problem involving rectangular area that requires multiple steps to solve.
Analyze this pattern: 1×24, 2×12, 3×8, 4×6. What do you notice about the areas and perimeters?
Explain why area is measured in square units. How does this connect to the rectangle area formula?
Design a floor plan using rectangles. Calculate the total area and explain your design choices.
Investigate: Can two rectangles have the same area but different perimeters? Prove with examples.