A rectangular circuit board is designed to have width \(w\) inches, perimeter \(p\) inches, and area \(k\) square inches

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A rectangular circuit board is designed to have width \(w\) inches, perimeter \(p\) inches, and area \(k\) square inches. Which of the following equations must be true?

(A) \(w^2+pw+k=0\)

(B) \(w^2-pw+2k=0\)

(C) \(2w^2+pw+2k=0\)

(D) \(2w^2-pw-2k=0\)

(E) \(2w^2-pw+2k=0\)

Answer: E

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