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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.

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Q: How many rectangles can be made from 1414 squares?
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