The length of side VW in pentagon VWXYZ is 10 units.
In pentagon VWXYZ, with side lengths VW = 2y + 3, WX = y + 2, XY = 11, YZ = 3y, and ZV = 11, the perimeter is 57 units. To find y, sum the side lengths and set equal to 57: 2y + 3 + y + 2 + 11 + 3y + 11 = 57.
Solving yields y = 5. Substituting back, VW = 2(5) + 3 = 13 units. Thus, the length of side VW is 13 units. The perimeter calculation is confirmed: 13 + 7 + 11 + 15 + 11 = 57. This illustrates how algebraic expressions for side lengths can be used to solve for unknowns and find specific side lengths in geometric figures.