Question 991246
.
x=amount to add to length
.
{{{(2yds+x)(3yds+2x)=11(2yds)(3yds)}}}
{{{2x^2+7x+6=66}}}
{{{2x^2+7x-60=0}}}
{{{(x-4)(2x+15)=0}}}
{{{x-4=0}}} {{{OR}}} {{{2x+15=0}}}
{{{x=4}}} {{{OR}}} {{{2x=-15}}}
{{{ x=4}}} {{{OR}}} {{{x=-7/2}}}
Since we are looking for a length, the second answer won't work.
You should add 4 yards to the length.
.
New Length= Old Length + x=2yds+4yds=6yds
ANSWER 1: The new length will be 6 yards.
.
New Width= Old Width+2x=3yds+8yds=11yds
ANSWER 2: The new width is 11 yards.
.
CHECK:
New Area = 11 x Old Area
.
(6yds)(11yds)=11(2yds)(3yds)
66yd^2=11(6yds)
66yd^2=66yd^2