Question 1117918
So {{{(2x-1)*x=66}}} 2x-1 is the length and x is the width. Turn that to a quadratic equation,

{{{2x^2-x-66=0}}} Use the quadratic formula.

{{{x=(-b+-sqrt(b^2-4ac))/2a}}}

{{{x=(-(-1)+-sqrt(-1^2-4*2*-66))/2(2)}}}

{{{x=(1+-sqrt(1-8*-66))/4}}}

{{{x=(1+-sqrt(529))/4}}}

{{{x=(1+- 23)/4}}} Ignore the minus because we're looking for positive answers.

{{{highlight(x=6)}}} The width is {{{66/6=highlight(11)}}}