Awire, 224 cm long, is cut into 3 pieces. the first is twice as long as the second. the third is one-half as long as the second. how long is the second piece?

X = 1st piece, y = 2nd piece, z = 3rd piece

x + y + z = 224
x = 2y
z = 1/2y

2y + y + 1/2y = 224
3.5y = 224
y = 224/3.5
y = 64 cm<== 2nd piece

x = 2y
x = 2(64)
x = 128 cm...1st piece

z = 1/2y
z = 1/2(64)
z = 64/2
z = 32 cm3rd piece