By using the area formulas for the respective shapes, we see that in the first case the area is the same, and in the second case, the areas are different.
How to know if the shapes have the same area?
For the first case, we have two triangles. Remember that the area of a triangle is:
A = b*h/2
Where b is the base and h is the heigth. Now, if you look at the first graph, you can see that both triangles have the same base and the same height, then we conclude that the two triangles have the same area.
For the second case, we see a rectangle and a rhombus.
The area of the rhombus is a product between the diagonals of the figure over 2 (this also works for the rectangle).
With this in mind, we can see that the right figure has longer diagonals than the left one, so here the areas are different.
If you want to learn more about area, you can read:
https://brainly.com/question/24487155
