Can't do this question please someone help

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The user has successfully solved part (A) of a problem, arriving at an answer of 22 when S equals 200, but is struggling with part (B). They are unsure how to determine the values of S for which a square cannot be constructed and seek advice on this aspect. The user has provided their current equation for S and noted that it can be interpreted as a multiple of 10. They are uncertain if their question falls under precalculus or calculus and are open to guidance on their approach. Clarification on the construction of squares in relation to the given equation is needed.
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Can't do this question :( please someone help

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I have managed to do part(A) and the answer I've got is 22 (when S=200). However, I'm stuck at part(B) at the moment. Here's what I've done so far for (B).
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I don't know how to work out the values of S for which a square cannot be constructed. Any suggestion or advice please? Thanks!NB: I'm not sure whether this question is classified as "precalculus" or "calculus" so if I've posted in the wrong place please let me know :)
 
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I'm not sure whether I am on the right track, but ...

Code: 
S = 20a + 11(b+c) +2d
  = 20a + 10(b+c) + b + c + 2d

So,  S - (2d + b + c) = 20a + 10(b + c)

Which can be interpreted as being a multiple of 10.
 

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