Answer:
Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in
Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.
As , Perimeter = Sum of all sides
→ 24.2 = 8.3 + 8.3 + 3.8 + x
→ 24.2 = 16.6 +3.8 + x
→ 24.2 = 20 .4 + x
Keeping like terms on one side, of equation
→ 24.2 - 20.4 = x
→ 3.8 = x
→ x = 3.8
So, length of fourth side = 3.8 in
The given shape is definately either a Parallelogram or a kite.