Arectangle garage is 14 feet longer than it is wide. what are the dimensions if the perimeter is 264 feet?

If the shorter side is x feet, then the longer side will be x+14 feet.  The perimeter will be the sum of all the sides and since this is a rectangle, the perimeter will be twice the sum of the shorter and longer side, thus:
2(x + x +14) = 264 feet.  Divide both sides by 2:
x +x + 14 = 132, or:
2x + 14 =132.  Now subtract 14 from both sides:
2x = 118.  Divide both sides by 2:
x = 59 feet.  The longer side is 14 feet more, and is therefore 59+14 = 73 feet.

The answer to that is 6