SOLUTION: A rancher uses 834 meters of fencing to enclose a rectangular region and also to subdivide the region into two smaller rectangular regions by placing a fence parallel to one of the

We might as well put the subdivision right in the middle and 
divide the rectangle into two equal x by h rectangles.



 
Let the area be 

Area = (base)(height)

Base = 
Height = 

Let the area be 



Sum of fencings = 


     
Solve for h









Substitute in











Use the vertex formula for this parabola:



x-coordinate of vertex = 










So the dimensions are 2x by h or  by  or 

m by m

or

210.75m by 140.5m



 

Edwin