Calculate the area of the shaded region.

• A. 15
• B. 4.5
• C. 9
• D. 7.5

Answer: (C)

Verified step by step guidance

1. Identify the coordinates of the vertices of the shaded region. In this case, the shaded region is a rectangle with vertices at (1, 2), (1, 5), (4, 2), and (4, 5).
2. Determine the length of the sides of the rectangle. The horizontal side runs from x = 1 to x = 4, giving a length of 3 units. The vertical side runs from y = 2 to y = 5, giving a length of 3 units.
3. Use the formula for the area of a rectangle, which is length multiplied by width. In this case, both the length and width are 3 units.
4. Calculate the area by multiplying the length and width: Area = 3 units * 3 units.
5. Conclude that the area of the shaded region is the product of the length and width, which is 9 square units.