Question 1118600
The area of a rectangle is 27 square meters.

Lw = 27
 If the length is 6 meters less than 3 times the width,

{{{L = -6 + 3w }}}

{{{Lw = (3w-6)w = 27 }}}

{{{w(w-2) = 9 }}}

{{{w^2 - 2w - 9 = 0 }}}

{{{w = 1 + sqrt(1 +9) = sqrt(10) + 1 = 4.16}}}
{{{L = 12.48 - 6 = 6.48 }}}

check: Lw = 26.95 if you don't round up you get 27