Answer: 180
Step-by-step explanation: To find the area of this region, let's first start by finding the area of the rectangle. To find the area of the rectangle, we use the formula shown.
Area = length x width
Now, let's plug in 8 for our length and 20 for our width.
Area = 8 x 20
Area of rectangle = 160
Now, let'f find the area of the triangle. Even though we have a triangle, let's pretend it's a a square and we can divide it by 2 after because a triangle is half of a square.
The square has a side length of 5 and a width of 8 so if we multiply them together, we get a product of 40. Since we are dealing with a triangle, we divide 40 by 2 and we get 20.
Therefore, the area of the triangle is 20.
160 + 20 = 180
180 = area of figure.
In the image you provided, let me briefly explain what mistake you made. You multiplied 25 by 8 which would give you 200 but that's not correct. It would be correct if the figure shown was just a huge rectangle but it's a rectangle and half of a square or a triangle. If you come across a problem like this again, find the area of a square then divide it by 2 to get the area of triangle.