A rectangular field is 55 yards wide and 100 yards long.Give the length and width of another rectangular field that has the same perimeter but a smaller area.

To find the length and width of another rectangular field with the same perimeter but a smaller area, we need to first calculate the perimeter of the given rectangular field.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the width is 55 yards and the length is 100 yards. So, the perimeter of the given rectangular field is:

Perimeter = 2 * (Width + Length) Perimeter = 2 * (55 + 100) Perimeter = 2 * 155 Perimeter = 310 yards

Now, let's assume the length of the new rectangular field is x yards. Since the perimeter of both fields is the same, we can set up an equation:

2 * (55 + x) = 310

Simplifying the equation, we have:

110 + 2x = 310 2x = 310 - 110 2x = 200 x = 200 / 2 x = 100

Therefore, the length of the new rectangular field is 100 yards.

To find the width of the new rectangular field, we can subtract the length of the given rectangular field from the length of the new rectangular field:

Width = Length of new rectangular field - Length of given rectangular field Width = 100 - 55 Width = 45

Therefore, the width of the new rectangular field is 45 yards.

In conclusion, the length and width of another rectangular field with the same perimeter but a smaller area are 100 yards and 45 yards, respectively.