Question 89562
L=5W+2 & THE AREA=W(5W+2)
5W^2+2W=65
5W^2+2W-65=0
USING THE QUADRATIC EQUATION WE GET: {{{x = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}} 
X=(-2+-SQRT[2^2-4*5*-65])/2*5
X=(-2+-SQRT[4+1300])/10
X=(-2+-SQRT1304)/10
X=(-2+-36.11)/10
X=(-2+36.11)/10
X=34.11)/10
X=3.41 ANSWER FOR THE WIDTH.
L=5*3.41+2 
L=17.05+2
L=19.05 ANSWER FOR THE LENGTH.
PROOF
19.05*3.41=65
65=65