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1+4+9 = 14 squares.
In a 3x3 grid, you can form rectangles by choosing two horizontal and two vertical lines. A 3x3 grid has 4 horizontal lines and 4 vertical lines. The number of ways to choose 2 lines from 4 is given by the combination formula ( C(4, 2) ), which equals 6. Therefore, the total number of rectangles is ( 6 \times 6 = 36 ).
Ignoring the orientation of the angles, there are seven. 0, 18.435, 26.565, 36.870, 45, 63.435 and 90 degrees.
Make each square 1 x 1
In a 4x3 grid, you can count the number of squares of various sizes. There are 12 unit squares (1x1), 6 squares of size 2x2, and 1 square of size 3x3. Therefore, the total number of squares is 12 + 6 + 1 = 19.