The answer to this question would be: L= 33.5, W=33.5
In this question, the rectangle has a perimeter of 134. From this number, you can get this equation:
perimeter=134
2(L+W)= 134
L+W=67
L= 67-W
Using the formula for dimension you can get this equation:
dimension= L * W
dimension= (67-W)W= 67W- W^2
The maximum dimension should be differentiation of the equation which will look like:
67 -2w= 0
2w= 67
w= 33.5
