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.
im pretty sure theres 60
OK OK an Answer not trying to get you failed.A grid is the same way to say rectangle ( at least in this case)So 3 square X 4 squares = 12 Squares
If each square were one inch by one inch it would be 12 square inches
If the squares were 1 foot by one foot + ?
4 times 4 equal 16.
There are 16 individual rectangles in such a grid.
This can however be a trickquestion.
You may also have to think about all the rectangles that can be made with more than one individual rectangle.
OOOO
OOOO
OOOO
OOOO
This illustration show the rectangles as O. It is crude, but understandable.
If combining rectangles 3 by 3, then you also have 4 rectangles within the big rectangle that also should count as one.. Now we have 16+4+1
We should also count all rectangles made 2 by 2. This makes yet another 9 rectangles. All together, this makes 30 different rectangles.
I am a bit unsure if a rectangle is a perfect square or not. If the rectangles does not have to be perfect squares, then the possible choices are even more.
About 94 would then be my guess, but I have not rechecked this estimation.
9
12 squares.
There are 36 unique quadrilaterals in a 3x3 square grid: 14 squares = 9 (1x1) 4 (2x2) 1 (3x3) 22 rectangles = 6 (1x2) 6 (2x1) 6 (3x3) 2 (2x3) 2 (3x2) (the total number of quadrilaterals formed by 3 x 3 pin sets will be larger, i.e. 78)
4
4
Do 4 sides times 4 rectangles. So it would be 4x4=16 sides
the answer is 4 + 4 + 4 or 3 + 3 + 3 + 3
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.
24 sqares in a gris 4x6
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
9 total. 4 1x1 2 1x2 2 2x1 1 2x2
20
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