The three sides of a triangular lot are represented by x, 2x, and 3x + 2. find each side if the perimeter of the triangular lot is 362 feet.

To find the perimeter, you would add all the sides.  Because we know the perimeter, we can represent this as an equation that needs solved.

362 = x + (2x) + (3x + 2), combine the like terms
362 = 6x + 2, subtract 2 from both sides
   -2           -2
360 = 6x, divide both sides by 6
   6       6

x = 60 feet

side 1 = 60 feet
side 2 = 120 feet
side 3 = 182 feet

check your work:  60 + 120 + 182 = 362 feet