A rectangular lot is 120 yards long and 75 yards wide.Give the length and width of another rectangular lot that has the same perimeter but a larger area.

The perimeter of the given rectangular lot is 2*(120 yards + 75 yards) = 390 yards.

If we want another rectangular lot with the same perimeter but a larger area, we need to adjust the length and width such that the length is greater than the width. This is because the area of a rectangle is maximized when the rectangle is a square (i.e., length = width), given a fixed perimeter.

Let's take an example where we increase the width by 10 yards and decrease the length by the same amount to keep the perimeter the same. So, the new length would be 120 yards - 10 yards = 110 yards and the new width would be 75 yards + 10 yards = 85 yards.

Now, let's compare the areas:

Area of the original lot = 120 yards * 75 yards = 9000 square yards Area of the new lot = 110 yards * 85 yards = 9350 square yards

So, the new lot with length 110 yards and width 85 yards has the same perimeter but a larger area than the original lot.