A farmer wishes to enclose a rectangular region with 196 meters of fencing in such a way that the length is twice the width and that the region is divided along its length into two equal parts. What is the length and width in meters?

Answer 1

Did you make a sketch?
width = x
length = 2x
but you dividing the length in two, so all sides are x

Count the x's , we need 7x

7x = 196
x = 28

the large rectangle is 54m by 28m

I assumed that the dividing side is parallel to the width.
If your dividing line is parallel to the length, then I would
define the original width as 2x and the length as 4x (thus avoiding fractions)
Then I see 3(4x) + 4(x) = 196
16x = 196
x = 12.25
and the field was 24.5m by 49 m