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
You can make 24 rectangles of 1 x 1 tiles each.
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?'
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.
There would be an infinite number of rectangles possible
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
4 rectangles
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.
As many as you want.