Answer: the area of the original rectangle is 300 square meters.
Step-by-step explanation:
Let L represent the original length of the rectangle.
Let W represent the original width of the rectangle.
The length of a rectangle is increased to 2 times its original size and its width is increased to 3 times its original size. This means that the length of the new rectangle is 2L and the width of the new rectangle is 3W
If the area of the new rectangle is equal to 1800 square meters, it means that
2L × 3W = 1800
6LW = 1800
LW = 1800/6
LW = 300 square meters