Question

A rectangular lot is 80 yards long and 50 yards wide.

Give the length and width of another rectangular lot that has the same perimeter but a larger area.

Answer 1

55 Wide and 75 Long works.

Explanation:

Since the Perimeter of the original is likely 80 + 80 +50 + 50 = 260 since it it a rectangular lot, 55 + 75 + 55 + 75 = 260 as well, meaning no change in perimeter. Now when we look at the area 80 x 50 = 4000, but

55 x 75 = 4125, leading to a larger plot