SOLUTION: Suppose you have two squares, one of which is larger than the other. Suppose further that the side of the larger square is seven times as long as the side of the smaller square.

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Side length of smaller square:

Area of smaller square:



Side length of larger square:

Area of larger square:



Now simply divide the area of the larger square into the area of the smaller square to find out how many smaller squares will fit in the larger square:




So 49 smaller squares can fit into the larger square.