A rectangular field is 65 yards wide and 100 yards long.Give the length and width of another rectangular field that has the same perimeter but a larger area.

To find the length and width of another rectangular field with the same perimeter but a larger 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 given rectangular field has a width of 65 yards and a length of 100 yards.

Perimeter = 2 * (Width + Length) Perimeter = 2 * (65 + 100) Perimeter = 2 * 165 Perimeter = 330 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 * (65 + x) = 330

Simplifying the equation, we have:

130 + 2x = 330 2x = 330 - 130 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 use the formula for the area of a rectangle:

Area = Length * Width

Since the area of the new rectangular field should be larger than the given field, we can set up the following inequality:

Area of new field > Area of given field Length * Width > 65 * 100

Substituting the values, we have:

100 * Width > 6500 Width > 6500 / 100 Width > 65

Therefore, the width of the new rectangular field should be greater than 65 yards.

In conclusion, the length of the new rectangular field is 100 yards, and the width should be greater than 65 yards.