Question 269242
"Sam has a lot that he thought was a square,200 feet by 200 feet." {{{200*200=A}}}
"he discovered that one side was x feet longer than he thought" {{{200+x}}}
"the other side was x feet shorter than he thought." {{{200-x}}}
a) Find a polynomial A(x) that represents the new area. means:
{{{A(x)=(200+x)(200-x)}}}
{{{A(x)=(40000+200x-200x-x^2)}}}
{{{A(x)=(-x^2+40000)}}}
b) Find A(2).
{{{A(2)=(-(2)^2+40000)}}}
{{{A(2)=(-4+40000)}}}
{{{A(2)=(39996)}}}
c) If x  2 feet, then how much less area does he have
than he thought he had?
originally he thought he had: 
{{{A=(200)(200)}}}
{{{A=(40000)}}}
{{{(40000ft^2-39996ft^2)}}}
{{{(4ft^2)}}} less than he thought