Answer:
P = 2l + 2w = 32
l + w = 16
w = 16 – l
A = lw
1w = 60
l(16 – l) = 60
16l-l2 = 60
0 = l2 – 16l + 60
0 = (1 – 10) (l – 6)
l = 10 and w = 6 or w = 10 and l = 6.
DEFINITIONS:
Symbolic algebra -- using variables and numbers to characterize and represent mathematical situations[1]
Recursive notation -- a process that is inherently repetitive, with the result of each repetition usually depending upon those of the previous repetition. [2] Note - Recursive notation requires the previous term (or information to begin) to generate the next term. This type of function follows a pattern that “reoccurs”. The power of this type of function is not in solving this particular problem, rather in helping students use patterns to generate conclusions as well as bring meaning to explicit functions.
One example of a recursive function that could be used to
solve this problem is 
starting
with Now = 1. This function works by putting the Now
value into the function in this case beginning with 1 + 2 giving the
Next value to be 3 which will be the value substituted back into the
function. This is not efficient to find many terms beyond the initial
values, but when students use this structure they generate greater
understanding of this linear pattern. The fact that you are continuing
to add 2 matches the slope in the explicit equation form. This seems to
make more sense as you are in fact adding with the change rather than
multiplying as the explicit form “looks”.