Write and solve an equation to find the unknown side length x (in inches). Perimeter = 24.2 in. Sides of the shape are 8.3, 8.3, and 3.8.

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.