Final answer:
The area of the pathway around Dan's 11m by 8m garden is 92m², calculated by subtracting the area of the garden (88m²) from the total area with the pathway (180m²).
Step-by-step explanation:
Finding the Area of the Pathway
To find the area of the path around Dan's garden, we need to consider the overall dimensions of the garden with the path included. The garden itself is 11m by 8m, and the pathway is 2m wide. This means that the path extends the overall length and width of the garden by 2 meters on each side.
The new overall dimensions of the garden including the path will be:
Length with path: 11m + 2m + 2m = 15m
Width with path: 8m + 2m + 2m = 12m
Now, we calculate the area of the entire garden with the pathway which is 15m * 12m = 180m2.
Next, we find the area of just the garden without the pathway, which is 11m * 8m = 88m2.
To find the area of just the path, we subtract the area of the garden from the total area:
- Area of garden with path = 180m2
- Area of garden without path = 88m2
- Area of path = Area of garden with path - Area of garden without path
- Area of path = 180m2 - 88m2 = 92m2