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How many rectangles in a 4x4 grid not including squares?
4 rectangles
How many squares in a 4 x 4 grid?
16 Answer #2 It is 16 if you just count the 1 x 1 squares but the 16 squares also form a 4x4 square. There are also 2x2 squares and 3x3 squares in the pattern. 16 1x1 squares 9 2x2 squares 4 3x3 squares 1 4x4 square 30 squares (possibly more?)
How many squares are in a 2 x 2 grid?
4 squares in a 2 by 2 grid 9 squares in a 3 by 3 grid 16 squares in a 4 by 4 grid 25 squares in a 5 by 5 grid 36 squares in a 6 by 6 grid 49 squares in a 7by 7 grid 64 squares in a 8 by 8 grid 81 squares in a 9 by 9 grid 100 squares in a 10 by 10 grid
What will be the answer if you have 1 square and in it 36 squares what is the number of squares?
You really should do your own homework - this is a question designed to make you analyse number patterns and devise a method to predict the answer that can be applied to grids of differing size. If we start with a square cut into a 3x3 grid, we can count the nine single (1x1) squares in the grid, the one 3x3 square, and then four 2x2* squares, making a total of 14. Try it out, then work your way up to 6x6 (a 36 square grid) by way of 4x4 and 5x5, looking to see how the grid's dimensions correlate to the number of varying-sized squares that can be counted. As a tip- in a 6x6 grid, you will have one 6x6 square, thirty-six 1x1 squares, and how many 2x2, 3x3, 4x4, and 5x5 squares? *The squares can overlap, obviously.
How many squares are there in a 5x5 grid?
25
