Question 967577
.
W=width; L=length=W+6ft; A=area=55 sq ft
{{{WL=A}}} Substitute for L.
{{{W(W+6ft)=55ft^2}}}
{{{W^2+6W=55ft^2}}} Subtract 55 sq ft from each side.
{{{W^2+6W-55ft^2}}}
{{{(W+11)(W-5)=0}}}
{{{W+11=0}}} {{{OR}}} {{{W-5=0}}}
{{{W=-11}}} {{{OR}}} {{{W=5}}}
ANSWER 1: The width is 5 feet.
{{{L=W+6ft}}}
{{{L=5ft+6ft}}}
{{{L=11ft}}}
ANSWER 2: The length is 11 feet.