Question

Help please!

Answer 1

Greg drew 3 squares with each side equal to z units. For each square, he does something different to it according to each part below.

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

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

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

Answer 2

since the area of a square is side*side, when you increase the side you get
(side+t)^2, or (3+t)^2=t^2+6t+9, the original area is 3^2=9, then the change is t^2+6t+9-9=t^2+6t

Answer 3

B: use the property (a-b)^2=a^2-2ab+b^2(same for (a+b)^2, only switch the sign of 2ab
C: (3+t)*(3-t) -> (a+b)(a-b)=a^2-b^2
3^2-t^2=9-t^2

Answer 4

Thank You sooo much!

Answer 5

hey, I'm sorry, I thought the three squares have sides of 3 units, but they have sides of z units, you should replace the 3's by z.. the process is the same