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Problem Solving (PS) | Re: If polygon ABCDE above has perimeter 26 and equilateral triangle BCD

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Bunuel wrote:

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If polygon ABCDE above has perimeter 26 and equilateral triangle BCD has perimeter 18, what is the area of the rectangular region ABDE?

(A) 6
(B) 12
(C) 24
(D) 32
(E) 48

[Reveal] Spoiler:



Since equilateral triangle BCD has a perimeter of 18, each side is 6, which means that BC = CD = BD = 6. Furthermore, AE = 6 since AE = BD. If we let BA = DE = n, we can create the following equation to determine
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