Aright rectangular pyramid is sliced parallel to the base, as shown.

what is the area of the resulting two-dimensional cross-section?

2 m²

3 m²

9 m²

12 m²

Hey. Let me help you on this one.

In order for us to solve this problem, we need to know how to find the area of the rectangle. There is a certain formula that we can use to find that, which I will go over in just a moment. I am also attaching am image alongside this answer to guide you in case you are a little bit confused or need extra studies. 

Here, we can see the two dimensional cross section appear after the cut. Cross-section is the area of the figure that gets exposed after the cut is made, and in our case, it's a rectangle with measures 1m x 2m.

We need to set up an area formula in order to find the area of the cross-section. 



In our case, "l" stands for length and "w" stands for width. Let's substitute the values with the ones we know.




Great. Question is solved, and we now know that the area of the cross-section is 2 m². 

Area of the cross section is 2 m²

I'm pretty sure it's b). i try drawing the functions out and b is the one that stands out or isnt a "line"