Question 1058481
Assuming the room is rectangular,
{{{A=L*W}}}
{{{15.91=L(L+0.6)}}}
{{{L^2+0.6L-15.91=0}}}
{{{(L-3.7)(L-4.3)=0}}}
Two solutions but only one is positive,
{{{L-3.7=0}}}
{{{L=3.7}}}{{{m}}}
So then,
{{{W=3.7+0.6}}}
{{{W=4.3}}}{{{m}}}