#### Count the number of squares - Math Riddle

**16. Math Riddles**

Count the number of squares in the given figure?

**Answer:27**

**Explanation : **

- N1: The number of simplest squares (1 component).
- N2: The number of squares with two components.
- N4: The number of squares with four components.
- N7: The number of squares with seven components.
- N9: The number of squares with nine components.
- N17: The number of squares with seventeen components.

Now, we can use these variables to express the total number of squares in the figure:

Total number of squares (T) = N1 + N2 + N4 + N7 + N9 + N17

From the provided information, we have:

N1 = 13 (simplest squares) N2 = 4 (squares with two components) N4 = 4 (squares with four components) N7 = 4 (squares with seven components) N9 = 1 (square with nine components) N17 = 1 (square with seventeen components)

Now, we can calculate the total number of squares:

T = 13 + 4 + 4 + 4 + 1 + 1 T = 27

So, the total number of squares in the figure is 27, as you've correctly calculated.