A rectangular field is 120 yards long and 85 yards wide. Give the length and width of another rectangular field that has the same perimeter but a larger area.

Step-by-step explanation:

Given parameters:

Length = 120yards

Width  = 85yards

Unknown:

Length and width of another rectangular field with the same perimeter but a larger area = ?

Solution:

The key to solving this problem is to known that for any given length and width, the area of square is the greatest.

  Length = 120yards     New length  = 100yards

 Width  = 85yards         New width = 105yards

Now,

 Area of the new dimension  = 105 x 100  = 10500yd²