How many squares are in a square with sixteen squares?

Answer 1

In a square made up of sixteen smaller squares, there are a total of 30 squares. This includes the one large square, the sixteen smaller squares, nine squares formed by combining four smaller squares, and four squares formed by combining nine smaller squares. Each of these squares contributes to the total count of 30 squares within the larger square.

Answer 2

Assuming each of the smallest squares (i.e., each of the 16 ones forming the large square) has a side 1 unit long:

There are 16 squares that are 1x1.

There are 9 squares that are 2x2.

There are 4 squares that are 3x3.

And there is 1 square that is 4x4.

So the total number of squares is 30.