Opposite sides of a parallelogram are the same length.
Let the length of side np = x inches. Side qm is then also x inches.
The problem gives the length of side mn in terms of side np as (2*x)+7 inches. Side pq is then also (2*x)+7 inches.
The perimeter is the sum of all four sides. x + x + [(2*x)+7] + [(2*x)+7], or 6x + 14 inches.
We are given the perimeter measure, so 6x + 14 = 68.
Subtract 14 from both sides: 6x = 54.
Divide both sides by 6: x = 9 inches.
Thus the length of side np is 9 inches.
