Posted by **Emily** on Tuesday, September 17, 2013 at 10:18pm.

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?

- Math -
**Reiny**, Tuesday, September 17, 2013 at 10:43pm
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

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