A rectangular park is 35m long and 17wide.a path or width 2.5m constructed on the outside of the park. find the area of path.
the inside rectangle area is 35*17
the outside rectangle area is 40*22
subtract the inside from the outside.
To find the area of the path, we need to consider the area of the park itself and subtract the area of the space inside the park.
The park is in the shape of a rectangle, with dimensions 35m long and 17m wide. The total area of the park is calculated by multiplying the length by the width:
Park Area = Length * Width = 35m * 17m = 595 square meters.
Now, since the path is constructed on the outside of the park, it will effectively increase the dimensions of both the length and width.
The width of the path is given as 2.5m. So, the new length of the park including the path will be:
New Length = Original Length + (2 * Path Width)
= 35m + (2 * 2.5m)
= 35m + 5m
= 40m.
Similarly, the new width of the park including the path will be:
New Width = Original Width + (2 * Path Width)
= 17m + (2 * 2.5m)
= 17m + 5m
= 22m.
Now we can find the area of the park including the path:
Total Area = New Length * New Width
= 40m * 22m
= 880 square meters.
Finally, to find the area of just the path, we subtract the area of the original park from the area of the park including the path:
Path Area = Total Area - Park Area
= 880 square meters - 595 square meters
= 285 square meters.
Therefore, the area of the path is 285 square meters.