Hey architects, we have an __app__ this week! Please share some solutions you've come up with. Below are a few prompts to get you started!

**Making squares with 2 smaller squares:**

What is the smallest square you can make using both 2x2 and 3x3 squares? (You must use at least one 2x2 square and at least one 3x3 square in your answer!)

Are there any sizes of squares that are impossible to make using 2x2 and 3x3 squares? If so, can you describe which squares are possible and which are impossible? If not, can you explain how you would construct any square?

How would your answers above change if you used 2x2 and 4x4 squares instead? 3x3 and 4x4 squares? Any two sizes of squares?

**Making squares with 3 smaller squares:**

What is the smallest square you can make using 1x1, 2x2, and 3x3 squares?

Are there any sizes of squares that are impossible to make using 1x1, 2x2, and 3x3 squares? If so, can you describe which squares are possible and which are impossible? If not, can you explain how you would construct any square?

How would your answers above change if you used 2x2, 3x3, and 4x4 squares instead? 2x2, 3x3, and 5x5 squares? Any three sizes of squares?

If you come up with other prompts and variations for others to solve, please share!