I agree. So like what you already said, there's 5 out of 12 chance that you will get lemon. And 7 out of 12 chances, you will get lime.
Ratio Format:
5:12 chances for lemon
7:12 chances for lime
A = l x w
l = 1212 + 2w
110,110 = (1212 + 2w)w


Use quadratic formula:

You don't need the negative value of the quadratic formula since it's asking for area.
Plug in 80.228 into l = 1212 + 2w
l = 1212 + 2(80.228) = 1372.456
To double check, 1372.456 x 80.228 = 110,109.4 or about 110,110
So, width = 80.228 and length = 1372.456
No, this would not be a linear function. Being linear means it creates a straight line, but this function has an x squared. Anytime x^2 is in a function, the graph is a u shape, called a parabola. A simple linear function is y=x :D