Respuesta :
Answer is [tex] \bf \dfrac{80}{7} [/tex] dm².
In order to calculate the area of the board that can be seen, we need to calculate the area of the the rectangular board and the circular frame. The difference of both's area is the required answer.
Refer to the attachment for step by step solution. :)


The area of the board that can be seen is 11.44 decimeter square.
What is the area of the board that can be seen?
The area of the board that can be seen is equivalent to the difference between the area of the circular picture and the area of the rectangular board.
Area of a circle = πr²
Where :
- π = pi = 3.14
- R = radius = diameter = 4/2 = 2
3.14 x 2² = 12.56 d²
Area of the rectangle = length x width
6 x 4 = 24
Area of the board that can be seen = 24 - 12.56 = 11.44 decimeter square
To learn more about the area of a circle, please check: https://brainly.com/question/14351152