A 64cm long iron wire is cut into two sections, and each section is folded into a square. If the sum of the two squares is equal to 160cm2, the side lengths of the two squares are______ ．

A 64cm long iron wire is cut into two sections, and each section is folded into a square. If the sum of the two squares is equal to 160cm2, the side lengths of the two squares are______ ．

Suppose the side length of a square is xcm, ∵ the four sides of the square are equal, ∵ the perimeter of the square is 4xcm, and the side length of the other square is 64 − 4x4cm. According to the meaning of the title, we get x2 + (64 − 4x4) 2 = 160, and the solution is X1 = 12, X2 = 4. When x = 12, 64 − 4x4 = 4; when x = 4, 64 − 4x4 = 12, so the other