Square lot. Sam has a lot that he thought was a square, 200 feet by 200 feet. When he had it surveyed, he discovered that one side was x feet longer than he thought and that the other side was x feet shorter than he thought.

Question

a).
Find a polynomial A(x) that represents the new area.
b).
Find A(2)
c).
If x=2 feet then how much less area does he have than he thought he had?
Answer:
a).
A(x)=(200-x)*(200+x)
A(x)=40,000-x^2
b).
A(2)=40,000-(2)^2
A(2)=40,000-4
A(2)=39,996 feet^2
c).
Initial area= 200*200=40,000 feet^2
Present area A(2)=39,996 feet^2
40,000 – 39,996= 4 feet ^2
I need to know if i done this correctly.

Answer 1

All of your answers are correct, and
you did a good job of showing your
work. Good job!!

Answer 2

Thank you so much!