A rectangular field 180 m long and 5 m wide, has a 2 m wide path allaround its inside. Find the area of the path.

Sure, here are the steps to find the area of the path:

1. First, we need to find the area of the entire field. The area of a rectangle is given by the formula length x width. So, the area of the field is 180 m x 5 m = 900 m².

2. Next, we need to find the area of the field excluding the path. The path is 2 m wide all around the inside of the field, so it reduces the length and the width of the field by 2 m on both sides. Therefore, the length of the field excluding the path is 180 m - 2 m - 2 m = 176 m, and the width is 5 m - 2 m - 2 m = 1 m. So, the area of the field excluding the path is 176 m x 1 m = 176 m².

3. Finally, to find the area of the path, we subtract the area of the field excluding the path from the area of the entire field. So, the area of the path is 900 m² - 176 m² = 724 m².