Question

@mathmale

Answer 1

Shane drew a square with each side equal to n units.

Part A: Shane increased the length and width of the square by m units each. What will be the change in the area of the original square? Show your work. (4 points)

Part B: Shane decreased the length and width of the square by m units each. What will be the change in the area of the square? Show your work. (3 points)

Part C: Shane increased the length of the square by m units and decreased its width by m units. What will be the change in the area of the square? Show your work. (3 points)

Answer 2

@jdoe0001 @tHe_FiZiCx99 @Niall

Answer 3

This is wanting a polynomial expression, right?

Answer 4

Yes.

Answer 5

But I think I have the polynomials necessary.

Answer 6

Part A:

(n + m)^2 = n^2 + 2nm + m^2

Part B:

(n - b)^2 = n^2 - 2nb + m^2

Part C:

(n + m)(n - m) = n^2 - m^2

Answer 7

I just don't know what will change in the area because of these new polynomials. >v<

Answer 8

Does this help you?

Answer 9

Hello, KG:
The original square has area n^2; the larger square has area (n+m)^2.
The latter expression expands to n^2 + 2mn + m^2.
Subtract the former from the latter.
The result is the change in area of the original square.

Answer 10

Hm...whattabout the last one? I am assuming that it would be that the original square area is n^2, but now the new area would be n^2 - m^2?

Answer 11

Thank you both. ;D

Answer 12

Your welcome! :)