If the scale factor from figure A to figure B is k,
then the perimeter of figure B is k times the perimeter of figure A.
Figure 1 has side lengths: a, b, and c.
A scale factor of k has been applied to figure 1 to produce figure 2.
So, figure 2 has side lengths: k times a, k times b, and k times c.
The perimeter of a figure is the sum of its side lengths.
Examine the perimeters of both figures.
Perimeter_{figure 1}  =  a + b + c 

Perimeter_{figure 2}  =  ka + kb + kc 
 =  k(a + b + c) 
 =  k(Perimeter_{figure 1}) 
So, the perimeter of figure 2 is k times the perimeter of figure 1.
First, find the perimeter of the parallelogram.
Perimeter  =  6 feet + 6 feet + 10 feet + 10 feet 
 =  32 feet 
If the scale factor from figure A to figure B is k, then the perimeter of figure B is k times the perimeter of figure A.
So, the perimeter of the new parallelogram is 4.2 times the perimeter of the original parallelogram.
4.2 × 32 feet = 134.4 feet