find the area of the shade region of the given figure

You probably tried to paste the figure but that does not work here.

Assuming the shaded area is a rectangle:

http://www.mathgoodies.com/lessons/vol1/area_rectangle.html

In order to find the area of the shade region in the given figure, we need to determine the shapes involved and their individual areas. Without a visual representation or description of the figure, it is difficult to provide an accurate answer. However, I can explain how to approach finding the area of shaded regions in general.

1. Identify the shapes involved: Look for any recognizable shapes, such as triangles, rectangles, circles, or irregular polygons.

2. Determine individual areas: Calculate the area of each individual shape within the shaded region using the appropriate formula. For example, the area of a triangle can be calculated using the formula A = (base * height) / 2, while the area of a circle can be calculated using the formula A = π * r^2 (where π is pi and r is the radius).

3. Subtract overlapping areas: If multiple shapes overlap in the shaded region, subtract the overlapping areas to avoid double-counting. Determine the overlapping area by finding the intersection of the shapes and subtract it from each shape's area.

4. Add up the individual areas: Sum up the areas of the individual shapes, excluding any overlap areas, to find the total area of the shaded region.

Remember, without specific details about the figure you mentioned, it is impossible to provide the exact answer.