Question 954458
L=length=W+8m; W=breadth=L-8m; A=area=308m^2
A=L*W
{{{308m^2=L*W}}} Substitute for W.
{{{308m^2=L(L-8m)}}} 
{{{308m^2=L^2-8Lm}}} Subtract 308m^2 from each side.
{{{0=L^2-8Lm-308m^2}}}*[invoke quadratic "L", 1, -8, -308 ]
ANSWER: The length is 22 meters
CHECK:
{{{W=L-8m}}}={{{22m-8m=14m}}} The breadth is 14 meters.
{{{A=L*W}}}
{{{308m^2=22m*14m}}}
{{{308m^2=308m^2}}}