A square is divided into a 4 by 4 grid of equal cells. How many squares of all possible sizes can be found?
Show hints
- Count squares of sizes 1, 2, 3, and 4 cells separately.
- Add 4 × 4, 3 × 3, 2 × 2, and 1.
Show the answer and solution
Answer: 30
There are 16 squares of size 1 by 1, 9 of size 2 by 2, 4 of size 3 by 3, and 1 square of size 4 by 4. The total is 16 + 9 + 4 + 1 = 30.