Arectangular patio is 20 meters by 30 meters and is surrounded by a sidewalk 2 meters wide. how many square meters are in the area of just the sidewalk

216 meters squared

Step-by-step explanation:

the sidewalk extends 2 m in all directions around which makes a 34 x 24 rectangle.  The area of that rectangle is 816 sq. m and the area of the patio is 600 sq. m.  Subtract the patio area from the entire area to get the difference of 216 sq. m for just the sidewalk.