Answer:
A = 864 m^2
Step-by-step explanation:
For a rectangle of length L and width W, the area is given by:
A = W*L
We know that the park has:
L = 60m
W = 40m
Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:
L' = 60m + 2*4m
W' = 40m + 2*4m
(as you can see in the sketch at the end)
The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.
This is:
A = L'*W' - *W
A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m
A = 68m*48m - 60m*40m
A = 864 m^2
