4 rectangles. (I'm assuming you mean 1414 congruent squares) Suppose we made a rectangle out of 1414 squares. Then its area is 1414x2, if x is the length of a square's side, and all its sides are multiples of x. Say the length and width are ax and bx, then we have two ways of finding the area, which must be equal: ax*bx=1414x2, or ab=1414. Now we just need to find the number of ways to get 1414 as a product of two whole numbers. 1414 factors as 2*7*101 (which are all prime), so there are 4 ways to split it up: 1414 = 1*1414 = 2*707 = 7 * 202 = 14 * 101. Each of these ways gives a different rectangle made up of 1414 squares.
8
The first answer given was 6 x 6 = 36. I think a better answer is 91. The grid contains not only 36 small squares, it contains 25 2x2 squares, 16 3x3 squares, etc., all the way up to one big 6x6 square. If you think this interpretation makes no sense, then consider the parallel question, 'How many rectangles are there in a 6 x 6 grid?'
There would be an infinite number of rectangles possible
To calculate the number of rectangles in a 5 by 4 grid, you can use the formula for the number of rectangles in an n by m grid, which is n*(n+1)m(m+1)/4. Plugging in the values for n=5 and m=4, you get 5*(5+1)4(4+1)/4 = 564*5/4 = 600/4 = 150 rectangles. So, there are a total of 150 rectangles in a 5 by 4 grid.
1144 4114 4411 1441 1414 4141 6
10
60
Just four rectangles comprise 64 squares of the same size: 1X64, 2X32, 4X16, and 8X8.
You could make 5 rectangles with 10 squares
Rectangles and squares both have 4 corners.
96 rectangles.
You need 4 rectangles and two squares * * * * * No, you do not need to have squares: there can be six rectangles - as in a brick shape.
Squares are actually also rectangles so you could make 8 rectangles without touching any of the squares. However, if you could cut the squares, that would be a different problem....
two, squares and rectangles
Excluding rotations, 2, plus a square.
4 rectangles
As many as you want.