Question

Please can anyone help? It's been forever... :(

Answer 1

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

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.

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.

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.

Answer 2

@phi Can you walk me through this?

Answer 3

I know the original area was n^2, so now for part a it is (n+m)^2 right?

Answer 4

I just don't know where to go from there

Answer 5

@ganeshie8 @phi @AnyoneElse

Answer 6

@Venny ? :/ do you know?

Answer 7

For the first one Area=s^2 if it is increased by m it will be
A=(s+m)^2

Answer 8

n not s sorry

Answer 9

The other one gets small er so it will be a=(n-m)^2

Answer 10

(THANK YOU SO MUCH YOU'RE A LIFESAVER) Right, so where do we do from there to demonstrate the change in the area?

Answer 11

Im not quite sure what they are asking, maybe try foiling it once?

Answer 12

Foiling, whats that?

Answer 13

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

Answer 14

you multiply n*n + n*m+m*n+m*m

Answer 15

Right! I know that, I guess they just never called it something like foiling.

Answer 16

Maybe that is what they are looking for? you cant get much more specific without values given. The original area would just be n^2

Answer 17

so to find that you subtract n^2 from that one and the change in area is 2nm+m^2

Answer 18

As for the last one im not sure why they would increase the length of the square and decrease the width because it would no longer be a square lol

Answer 19

ohhhh okay to find the difference

Answer 20

@LearningIsAwesome Do you do FLVS?

'Cause I did FLVS, Algebra I. And they didn't say anything about the FOIL method, either.

But it's used for multiplying things like:

(x+2)(x-2)

Answer 21

Right, I do.

Answer 22

Oh I don't, Igreen do you have any idea on the last part?

Answer 23

Would it cancel out? Because it is a square... or would it become a rectangle now

Answer 24

@LearningIsAwesome

This will help:

http://openstudy.com/study#/updates/530a6cd4e4b0f3b8dc8c2414

http://openstudy.com/study#/updates/532a1de0e4b01a3037fe9514

Answer 25

Well I got the first part right wow

Answer 26

Ok so it make a=n^2
a=(n-m)(n+m)
a=n^2+mn-mn-m^2
a=n^2-m^2
-n^2
change=-m^2

Answer 27

Okay, and what about the ending for B and C @Venny ?

Answer 28

B you do the same thing as a and i am pretty sure the change is -m^2 for c, i may be wrong because someone else said m^2

Answer 29

b you subtract n^2 because it is the original area

Answer 30

So can you write it out like as one going through all of it, I'm just not quite sure I understand yet

Answer 31

a=(n-m)^2
(n-m)(n-m)
n^2-mn-mn+m^2
n^2-2mn+m^2
subtract original area n^2
-2mn+m^2

Answer 32

Okay, and c?

Answer 33

Ok so it make a=n^2
a=(n-m)(n+m)
a=n^2+mn-mn-m^2
a=n^2-m^2
-n^2
change=-m^2

Answer 34

The other guy from the link got m^2 but idk i think he did it wrong sorry im not positive on this one