Question 956703
L=length; W=width=L+3.6ft; A=area=20.77 sq ft
{{{LW=A}}} Substitute for W
{{{L(L+3.6ft)=20.77ft^2}}}
{{{L^2+3.6Lft=20.77ft^2}}} Subtract 20.77 sq ft from each side.
{{{L^2+3.6ftL-20.77ft^2=0}}}*[invoke quadratic "L", 1, 3.6, -20.77 ]
ANSWER 1: The length is 3.1 feet.
W=L+3.6ft=3.1ft+3.6ft=6.7ft
ANSWER 2: The width is 6.7 feet.
CHECK:
{{{LW=A}}}
{{{(3.1ft)(6.7ft)=20.77ft^2}}}
{{{20.77ft^2=20.77ft^2}}}