Find the total number of squares of all sizes that can be formed in a 4x4 grid of equal unit squares.

Step-by-step solution

1. Count the number of 1×1 squares: $4\times 4=16$.
2. Count the number of 2×2 squares: $3\times 3=9$.
3. Count the number of 3×3 squares: $2\times 2=4$.
4. Count the number of 4×4 squares: $1\times 1=1$.
5. Add all of them: $16+9+4+1=30$.
6. Thus, 30 squares can be formed.

Concept tested: Counting squares in a grid

Published 1 October 2026 · How this solution was prepared and checked