Hi there!
Answer:
The length of the shortest cable is 94 feet,
The length of the longest cable is 106 feet.
Explanation
Let the length of the shortest cable be represented by x
The longest cable can be represented by x + 12
Now we can set up (and solve) an equation:
Length shortest cable + Length longest cable = 200
x + (x + 12) = 200
x + x + 12 = 200
Collect terms
2x + 12 = 200
Subtract 12
2x = 188
Divide by 2
x = 188 / 2 = 94
Therefore, the length of the shortest cable is 94 feet,
The length of the longest cable is 94 + 12 = 106 feet.
~ Hope this helps you ~
