Question

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.

Answer 1

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