4 rectangles
9 total. 4 1x1 2 1x2 2 2x1 1 2x2
Well, honey, in a 4 x 6 grid, you've got a total of 30 rectangles. You've got your 24 smaller rectangles formed by the individual squares, then you add 4 rectangles formed by 2 x 2 squares, and finally, you top it off with 2 rectangles formed by 3 x 2 squares. So, grab a calculator if you need to, but that's the tea!
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
Rectangles and squares both have 4 corners.
4 rectangles
8
In a grid of A x B squares, the formula to find how many unique rectangles there are (and all squares are considered to be rectangles) is: A * (A+1) * B * ((B+1)/4) A and B are interchangeable. So in a 5 x 4 grid, there are 5 * (5+1) * 4 * ((4+1)/4) Or 5 * 6 * 4 * (5/4) Or 150 unique rectangles. Now if we switch A and B, the equation reads: 4 * (4+1) * 5 * ((5+1)/4) Or 4 * 5 * 5 * (6/4) Again 150 unique rectangles.
Well, honey, in a 4 x 6 grid, you've got a total of 30 rectangles. You've got your 24 smaller rectangles formed by the individual squares, then you add 4 rectangles formed by 2 x 2 squares, and finally, you top it off with 2 rectangles formed by 3 x 2 squares. So, grab a calculator if you need to, but that's the tea!
16 1x1 rectangles + 12 2x1 rectangles + 8 3x1 rectangles + 4 4x1 rectangles + 12 1x2 rectangles + 9 2x2 rectangles + 6 3x2 rectangles + 3 4x2 rectangles + 8 1x3 rectangles + 6 2x3 rectangles + 4 3x3 rectangles + 2 4x3 rectangles + 4 1x4 rectangles + 3 2x4 rectangles + 2 3x4 rectangles + 1 4x4 rectangle. A Grand Total of: 100 squares and rectangles. OR: A rectangle is formed by 2 horizontal lines and 2 vertical lines. There are 5 horizontal and 5 vertical lines so the number of rectangles is 5C2 * 5C2 = 10 * 10 = 100
There are 36 rectangles of various sizes formed by a 9-rectangle grid. The most obvious are the smallest (9) and the largest (1), but any 2, 3, 4, or 6 adjacent rectangles can form other rectangles.
9 total. 4 1x1 2 1x2 2 2x1 1 2x2
In a 4 by 3 grid, there are a total of 20 squares. To calculate this, you can start by counting the individual squares of each size within the grid. There are 12 one-by-one squares, 6 two-by-two squares, and 2 three-by-three squares. Adding these together gives a total of 20 squares in a 4 by 3 grid.
12 squares.
1.North Grid 2.North - East Grid 3.South Grid 4.West 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
-3