Questions: How many squares are in this picture CHOOSE ONE: A 16 (B) 29 (C) 30 (D) 32

To determine how many squares are in a given picture, you need to consider all possible squares of different sizes that can be formed within the grid. This includes:

1. Individual unit squares: Count each small square within the grid.
2. Larger squares: Consider squares formed by combining smaller squares. For example, in a 4x4 grid, you can have 2x2, 3x3, and 4x4 squares.

Without the actual picture, I will provide a general method for counting squares in a grid:

• 1x1 squares: If the grid is n x n, there are n^2 of these.
• 2x2 squares: There are (n-1)^2 of these.
• 3x3 squares: There are (n-2)^2 of these.
• Continue this pattern until you reach the largest possible square.

For example, in a 4x4 grid:

• 1x1 squares: 4^2 = 16
• 2x2 squares: 3^2 = 9
• 3x3 squares: 2^2 = 4
• 4x4 squares: 1^2 = 1

Total squares = 16 + 9 + 4 + 1 = 30

Based on this method, the answer is (C) 30.

Explanation for each option:

• A 16: This only accounts for the smallest unit squares.
• (B) 29: This is incorrect based on the calculation method.
• (C) 30: This is the correct total when considering all possible squares.
• (D) 32: This is incorrect based on the calculation method.

In summary, the answer is (C) 30.