Final answer:
To find the area of the sidewalk, subtract the area of the garden from the area of the entire enclosure. The area of the sidewalk is 64 sq m.
Step-by-step explanation:
To find the area of the sidewalk, we need to subtract the area of the garden from the area of the entire enclosure. The area of the garden is given by length multiplied by width, which is 10m x 20m = 200 sq m. The area of the entire enclosure is obtained by adding the area of the garden and the area of the sidewalk. Since there is a 1m wide sidewalk around the garden, the length and width of the enclosure would be increased by 2 meters each. So the length becomes 10m + 2m = 12m, and the width becomes 20m + 2m = 22m.
The area of the entire enclosure is then 12m x 22m = 264 sq m. Therefore, the area of the sidewalk is the difference between the area of the entire enclosure and the area of the garden: 264 sq m - 200 sq m = 64 sq m