Final answer:
To determine the number of squares that can be made with 55 matchsticks, divide the total number of matchsticks by the number of matchsticks required for each square.
Step-by-step explanation:
To determine how many squares can be made with 55 matchsticks, we need to analyze the pattern shown with 13 matchsticks making 4 squares. From the given pattern, we can observe that each square is formed using 3 matchsticks for the sides and 1 matchstick for the diagonal. Therefore, each square requires a total of 4 matchsticks.
So, if we have 55 matchsticks, we can make a maximum of 13 squares since each square requires 4 matchsticks. However, it's important to note that this assumes we have an infinite supply of matchsticks.
We can represent this relationship mathematically as follows:
Number of squares = (Total number of matchsticks) / (Number of matchsticks per square) = 55 / 4 = 13.75
Since we can't have a fractional number of squares, the maximum number of squares we can make with 55 matchsticks is 13 squares.