Prime & Composite Rectangle Dimensions

Author:
Ms. Andres
Topic:
Rectangle

How many rectangles can you make?

Use the number of square tiles given in each question to create rectangles. The term “unique” in this assignment refers to non-congruent rectangles. Create a visual representation of each unique rectangle that can be made on the grid provided for each question.

Question 1

How many unique rectangles can you create using exactly 5 square tiles?

Question 2

How many unique rectangles can you create using exactly 6 square tiles?

Question 3

How many unique rectangles can you create using exactly 9 square tiles?

Question 4

How many unique rectangles can you create using exactly 11 square tiles?

Question 5

How many unique rectangles can you create using exactly 15 square tiles?

Conclusion

Record any observations that you made about the number of unique rectangles that can be created if the number of tiles is prime, composite, or square.