Question

A rectangular field is 80 meters wide and 125 meters long.

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

Answer 1

Perimeter of the rectangle is 2*(80+125)=410
The rectangle having the biggest area given the same perimeter is a square. So we need to go "the other way" -- find the rectangle with larger side ratio. 200 m and 5 m is a good example.

The area of the first rectangle:
`80 m * 125 m =10000 m^2`
The area of the second rectangle :
`200 m * 5 m = 1000 m^2` (10 times smaller).