A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true?  Choose the correct option
A) 2W^2 + PW + 2B = 0 B) 2W^2 − PW + 2B = 0 C) 2W^2 − PW − 2B = 0 D) W^2 + PW + B = 0 E) W^2 − PW + 2B = 0
P = 2(L+W)-----------------1)   B= LW------------------------2)   option A is not possible why ?? because all the terms are positive.   lets try option B , put value of P and B from 1 and 2 we have,   2W^2-2(L+W)W + 2(LW)   2W^2 - 2LW - 2W^2 + 2LW=0.   hence answer is 2W^2 − PW + 2B = 0.
<result>B</result>
A rectangular circuit board is designed to have a width of W inches, a length of L inches, a perimeter of P inches, and an area of B square inches. Which of the following equations must be true?