SOLUTION: Hi my name is Liz and I would like to know if you can help me solve this problem: a piece of wire that is 100 cm long is to be cut into two pieces, each to be bent to make a square

Question 395576: Hi my name is Liz and I would like to know if you can help me solve this problem: a piece of wire that is 100 cm long is to be cut into two pieces, each to be bent to make a square. The lenght of a side of one square is to be twice the length of the other. How should the wire be cut?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
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 ==> cm.
Therefore the wire should be cut 100/3 cm and 200/3 cm.
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