rectangular field is 115 meters long and 80 meters wide.Give the length and width of another rectangular field that has the same perimeter but a smaller area.

The perimeter of the given rectangular field is 2*(115m + 80m) = 390m.

To have the same perimeter but a smaller area, the length and width of the new rectangular field should be closer to each other than the original. This is because for a given perimeter, a square has the maximum area. So, the more a rectangle resembles a square (i.e., the closer its length and width are to each other), the larger its area will be.

Let's take the length and width of the new rectangular field as 100m and 95m respectively. The perimeter is 2*(100m + 95m) = 390m, which is the same as the original.

However, the area of the new field is 100m * 95m = 9500 sq.m, which is less than the area of the original field (115m * 80m = 9200 sq.m).

So, a rectangular field that is 100 meters long and 95 meters wide has the same perimeter but a smaller area than the original field.