Answer:
B and D are correct.
Explanation:
To find the area of a rectangle, simply multiply its length by its width. In this case, the length of the rectangle is 
 m and the width of the rectangle is 
 m, so its area must be 
 square meters.
To find the area of a triangle, divide the product of the triangle's base and height by 
. As an algebraic expression, that would be 
, where 
 and 
 are the triangle's base and height, respectively. In this case, 
 and 
, so the triangle's area is 
 square meters.
Now, let's look at the statements.
A: The triangle's area is 
 square meters, not 
, so A is incorrect.
B: The rectangle's area is 
 square meters and the triangle's area is also 
 square meters. Because the two figures have the same areas, their areas are equal, so B is correct.
C: We've already established that the two figures have equal areas, so one can't have a greater area than the other. Therefore, C is incorrect.
D: The rectangle's area is indeed 
 square meters, so D is correct.
Hope this helps!