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 X square inches. Which of the following equations must be true?  Choose the correct choice from the following answers.
A) 2W^2 − PW + 2X = 0  B) 2W^2 + PW + 2X = 0  C) 2W^2 − PW − 2X = 0  D) W^2 + PW + X = 0  E) W^2 − PW + 2X = 0
P = 2(L+W)-----------------1)   X= LW------------------------2)   option A is not possible why ?? because all the terms are positive.   lets try option B , put value of P and A 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 + 2X = 0.
<result>A</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 X square inches. Which of the following equations must be true?