Answer: 500cm squared
Step-by-step explanation:
To figure out the area, here are the steps
First, seperate the parallelogram into 2 triangles and a rectangle.
Secondly, we see it has figured out the area of the triangle which is 25, so we can assume that the other triangle is also 25. So the area of the two triangles are 25 + 25 = 50
Then, if we look at what it has labeled, we would know that the length of the parallelogram is 50, BUT this 50 contains ONE length of the triangle, which means to get the actual length of the rectangle, we must subtract a length of a triangle from 50.
That's 50 - 5 = 45. Therefore the area of the rectangle is (length times width) 45 ✕ width = the area of the rectangle.
Now we realize that we don't know the width of the rectangle, we can figure that out by back-tracking from the area of the triangle.
We know that area of a triangle is length times height divided by 2, so 25 ✕ 2 divided by legth would get us the height of the triangle. 25 ✕ 2 ÷ 5 = 10
Now we can figure out the area of the rectangle. 45 ✕ 10 = 450
Add the rectangle and the triangles together, you get -- 450 + 50 = 500 (cm squared）
