Question

you have 160 yards of fencing to enclose a rectangular region. find the maximum area of the rectangular region

Answer 1

Maximum area given perimeter is that of a square.

A square has four equal sides so you would have to divide 160 by 4 to get the length of each side. 

160÷4=40

Now to find the area you use the formula A=lw.

A=40x40
A=1600

Therefore the maximum area of a rectangular region if you have 160 yards of fencing is 1600 yards²

Answer 2

The maximum area of a rectangle when given perimeter is simply perimeter/sides.
To get the maximum area, simply divide 160 (perimeter) by 4 (sides in a rectangle) and then square the result:
160/4 = 40
40 x 40 = 1600
The maximum area, when the sides are all of the same length, is 1600 square yards.
Hope this helps!
~ArchimedesEleven