
Suppose we choose a path along the

-axis, so that

:

On the other hand, let's consider an arbitrary line through the origin,

:

The value of the limit then depends on

, which means the limit is not the same across all possible paths toward the origin, and so the limit does not exist.
P=2 then 2^2+4=8
P=11 then 11^2+4=125
Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches