The shape shown in the image is a quadrilateral with different side lengths. To determine its area, we need to know the type of quadrilateral it is and if any specific formula applies.

Let's break down the details from the image:

• The four sides are:
  • 4.8 cm (2 sides)
  • 6.1 cm
  • 6.7 cm
  • 45 mm (converted to cm = 4.5 cm)

This doesn't immediately suggest a standard shape like a rectangle or square, so it might require more complex calculations (such as using coordinates or decomposing it into simpler shapes).

Could you confirm if the shape is a kite, irregular quadrilateral, or another type? That way, I can help more effectively. Would you also like an approach using trigonometry or breaking the shape into triangles to estimate the area?