Rancher gonzales has to build the corral for her horses. now she's building a pen for her pigs. as she isn't worried about efficiency for the pigs, she decides to use a boring old rectangle. the pigs need an area at least 150 square meters. rancher gonzales has to decide what dimensions to make the pen. what are the dimensions?

Well,

Since the requirement is at least 150 sq. meters, I will give an example as the minimum:

30 m x 50 m  This is a minimum.  Of course, the following will also work.

40 m x 50 m

There are an infinite number of possible dimensions that satisfy the criteria.

Since the question involves only pigs (with the possible exception of
Rancher Gonzales herself), we don't need to know anything about her
intentions regarding the horses.

There are an infinite number of sets of possible dimensions for the pig pen. 
In the real world, we might be constrained by additional requirements, such as,
for example:  The pen must be wide enough to accommodate the width of a pig. 
Or: The total footprint of the pig pen must fit entirely within the Gonzales Ranch.
But the question as given mentions no such constraints, only that the area of
the pen must be no less than 150 square meters. So Rancher Gonzales is free
to select the dimensions as follows:

-- Pick any positive number out of the air.  Call the number ' Q '.
' Q ' is one dimension of the pig pen, in meters.

-- The other dimension must also be a positive number, and can be as large
as Sra. Gonzales' dreams, but must be no less than  ( 150 / Q )  meters.