* Understanding the Units:

* Meter (m): A base unit of length in the metric system.

* Decimeter (dm): One-tenth of a meter (1 dm = 0.1 m).

* Square Decimeter (dm²): A unit of area, representing a square with sides of 1 decimeter each.

* Conversion:

* Since 1 meter equals 10 decimeters, a square meter (1 m x 1 m) is equivalent to a square with sides of 10 decimeters each (10 dm x 10 dm).

* Therefore, 1 square meter is equal to 100 square decimeters (100 dm²).