Question 395576
let x  =edge of smaller square,
2x  =edge of bigger square

Then the perimeter of the smaller square plus the perimeter of the bigger square must equal the length of the wire, or

4x + 4(2x) = 100 ==> 4x + 8x = 100 ==> 12x = 100 ==> {{{x = 25/3 = 8&1/3}}}cm. 
Therefore the wire should be cut 100/3 cm and 200/3 cm.