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
There would be an infinite number of rectangles possible
Oh, dude, you're really making me count rectangles now? Ok, fine. So, in a 5 by 4 grid, you've got 15 horizontal lines and 10 vertical lines, which means you've got 15 x 10 = 150 rectangles. But hey, who's counting, right?
1144 4114 4411 1441 1414 4141 6
Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. So, there are 5 rectangles with an area of 36 cm^2 is 5.
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.