The area of the unshaded region is C.
Step-by-step explanation:
Step 1:
To calculate the area of the unshaded region we first divide it into shapes that we know.
In this case, the entire shape consists of a larger triangle and a smaller triangle.
If we can calculate the individual areas of the two shapes we should be able to calculate the area of the unshaded part.
Step 2:
The area of a triangle is half the product of its base length and its height.
For the larger triangle, the base length is 6 inches and the height is 8 inches.
The area of the larger triangle,
For the smaller triangle, the base length is 3 inches and the height is 4 inches.
The area of the smaller triangle,
Step 3:
Now we calculate the area of the unshaded region by subtracting the areas of the smaller triangle from the area of the larger triangle.
Area of the unshaded region,
This is option C.