Path Difference: Why a Cold Spot Forms at S

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Luke1121
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I was doing a past paper earlier and i got a question about cold spots in microwaves and i needed to calculate path difference the question was:

---------|------->S<---------|--------- Explain why a cold spot is formed at S
18cm | 6cm. 12cm | 30cm

The question showed the waves reflecting off the top and sides of the microwave which are shown by the -|-

It was 4 marks so a calculation should be done and i did (30+12)-(18+6) then i didnt know what to do, i then found out you are supposed to divide (30+12)-(18+6) by 12. But I am not really sure why, can anyone explain why? Thanks
 
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