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!