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Question: A lawn 10 m by 8 m is surrounded by a path 1 m wide. Find the area of the path.

Step 1: Find the area of the lawn. The lawn is rectangular with a length of 10 m and a width of 8 m. Area of a rectangle = length $\times$ width $Area of lawn = 10 m \times 8 m = 80 m^2$

Step 2: Find the dimensions of the lawn including the path. The path is 1 m wide around the entire lawn. New length = original length + 2 $\times$ path width New width = original width + 2 $\times$ path width $New length = 10 m + (2 \times 1 m) = 10 m + 2 m = 12 m$ $New width = 8 m + (2 \times 1 m) = 8 m + 2 m = 10 m$

Step 3: Find the area of the lawn including the path. $Total area (lawn + path) = 12 m \times 10 m = 120 m^2$

Step 4: Find the area of the path. Area of path = Total area (lawn + path) - Area of lawn $Area of path = 120 m^2 - 80 m^2 = 40 m^2$

The area of the path is: $\boxed{40 m^2}$

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