Given 50 ft. of wall contained by a L-shaped room, how to find x and y, to produce the largest nouns?
Answers: Largest area will be when x = y.
Thus, using just 50 linear foot of wall:
A 25 x 25 room has 625 sq. feet of floorspace.
A 49 x 1 room (unlikely) have 49 sq. feet of floorspace.
The closer to "square" you get, the more floor space become available.
Hope that helped.