Answer: The area of the shaded region is 30 cm^2
Step-by-step explanation:
First, we recall the area for a rectangle and a triangle.
-Area for rectangle: A = L x W
-Area for triangle: A = 1/2 x b*h
Next, I find the area of the total region.
-12 cm x 4 cm = 48 cm^2
Then, I find the area for the non-shaded region (or the white triangle)
- A= 1/2 x 9*4
- A= 1/2 x 36
- A = 18 cm^2
Finally, I subtract the total area of the whole region from the non-shaded region ( or again white triangle)
- 48 minus 18 = 30 cm ^2
