There are no specific ways of calculating the areas of a shaded region. Several questions may require different approaches.
- The area of the shaded region in figure A is [tex]28cm^2[/tex]
- The area of the shaded region in figure B is [tex]34cm^2[/tex]
I've added as an attachment, the missing figures.
Figure A
The figure can be divided into 2 by separating the top and the bottom. The resulting figures will be
- A 6cm by (6 - 2)cm rectangle
- A 2cm by 2cm square
The area of the rectangle is:
[tex]A_1 = 6cm \times (6 - 2)cm[/tex]
[tex]A_1 = 6cm \times 4cm[/tex]
[tex]A_1 = 24cm^2[/tex]
The area of the square is:
[tex]A_2 = 2cm \times 2cm[/tex]
[tex]A_2 = 4cm^2[/tex]
So, the area of the shaded region is:
[tex]Area = A_1 +A_2[/tex]
[tex]Area = 24cm^2 + 4cm^2[/tex]
[tex]Area = 28cm^2[/tex]
Hence, the area of the shaded region is [tex]28cm^2[/tex]
Figure B
First, calculate the area of the big rectangle (8cm by 5cm)
The area of the rectangle is:
[tex]A_1 = 8cm \times 5cm[/tex]
[tex]A_1 = 40cm^2[/tex]
Next, calculate the area of the small rectangle (3cm by 2cm):
The area of the square is:
[tex]A_2 = 3cm \times 2cm[/tex]
[tex]A_2 = 6cm^2[/tex]
So, the area of the shaded region is:
[tex]Area= A_1 - A_2[/tex]
[tex]Area= 40cm^2 - 6cm^2[/tex]
[tex]Area= 34cm^2[/tex]
Hence, the area of the shaded region is [tex]34cm^2[/tex]
Read more about areas of shaded region at:
https://brainly.com/question/16418397
