Answer:
96 units
Step-by-step explanation:
The corresponding sides are congruent, thus
SL = DE , substitute values
8x + 16 = 41 + 3x ( subtract 3x from both sides )
5x + 16 = 41 ( subtract 16 from both sides )
5x = 25 ( divide both sides by 5 )
x = 5
Thus perimeter = SL + LC + SC
Note that SC = DN = 6x - 4 ( corresponding sides are congruent )
perimeter = 8x + 16 + x + 9 + 6x - 4 = 15x + 21 = 15(5) + 21 = 75 + 21 = 96
