Answer:
To determine the area of the shaded region in the figure, we need to break down the calculation based on the provided measurements:
1. **Calculate the area of the larger rectangle:**
- The larger rectangle has dimensions of 4 inches (length) by 6 inches (width).
- Area of a rectangle = length x width
- Area of the larger rectangle = 4 in x 6 in = 24 square inches
2. **Calculate the area of the smaller rectangle:**
- The smaller rectangle has dimensions of 2 inches (length) by 4 inches (width).
- Area of the smaller rectangle = 2 in x 4 in = 8 square inches
3. **Calculate the area of the shaded region:**
- The shaded region is the area between the larger and smaller rectangles.
- Area of shaded region = Area of larger rectangle - Area of smaller rectangle
- Area of shaded region = 24 square inches - 8 square inches = 16 square inches
Therefore, the area of the shaded region in the figure is 16 square inches. This calculation involves finding the areas of the individual rectangles and then subtracting to determine the area of the shaded region.
Step-by-step explanation:
