Question 1016040
.
x=amount added to length and width
.
L=length=5ft+x; W=width=3ft+x
.
{{{LW=35ft^2}}}
{{{(5ft+x)(3ft+x)=35ft^2}}}
{{{15ft^2+8ft+x^2=35ft^2}}}
{{{x^2+8xft+15ft^2=35ft^2}}}
{{{x^2+8xft-20ft^2=0}}} . This equation represents new area
{{{(x+10)(x-2)=0}}}
{{{x+10=0}}} {{{OR}}} {{{x-2=0}}}
{{{x=-10}}} {{{OR}}} {{{x=2}}}
.
He added 2 feet to each dimension
.
L=5ft+x=5ft+2ft=7ft
W=3ft+x=3ft+2ft=5ft
.
ANSWER: The new dimensions were 7 feet by 5 feet.
.
CHECK:
{{{LW=35ft^2}}}
{{{(7ft)(5ft)=35ft^2}}}
{{{35ft^2=35ft^2}}}