- anonymous

The following table shows the length and width of two rectangles:
Length Width
Rectangle A x + 8 x − 1
Rectangle B 4x + 5 3x − 2
Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?
10x − 12
18x + 32
10x − 8
18x + 6

- katieb

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- anonymous

can someone help me on this?? i dont understand it

- jtvatsim

Yikes! A little scary, huh? Not to worry though, it's actually pretty easy. Let's take it one step at a time.

- anonymous

ok great

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## More answers

- jtvatsim

The question sounds very confusing, "the perimeter of rectangle B minus the perimeter of rectangle A"... uh.. yeah. Let's just ignore that for now and think about the perimeters separately:
Perimeter of rectangle A is (we will find out)
and
Perimeter of rectangle B is (again, we will find that out).

- anonymous

okay

- jtvatsim

So, what do we know about rectangle A? The table says that
A's length is x + 8 (some number) and the width is x - 1 (some other number).
Let's draw a picture so we can see what this even means.

- jtvatsim

|dw:1436922996057:dw|

- jtvatsim

Alright, does that picture make sense so far?

- anonymous

yes, it does

- jtvatsim

OK, perfect! We are almost done with the hardest part. Do you remember how to find the perimeter?

- anonymous

you time it by each side ??

- anonymous

times*

- jtvatsim

Close, that's the area (they often get confused). :)

- jtvatsim

It's actually easier... we just add all four sides together and measure the outside of the rectangle.

- anonymous

ooh okay

- jtvatsim

(x+8) + (x-1) + (x+8) + (x-1) = 4x + 16 - 2 = 4x + 14. There that's better.

- jtvatsim

So that is the perimeter of A. Any questions on how we did that part?

- anonymous

nope

- jtvatsim

OK. Now, we just do exactly the same thing for rectangle B.

- jtvatsim

We have different numbers:
B width = 3x - 2
B length = 4x + 5

- jtvatsim

|dw:1436923340928:dw|

- anonymous

awesome

- jtvatsim

And, then we just add all four sides... it's a little messy, but try it and see what you get. I'll check your answer. :)

- anonymous

ok give me a second

- jtvatsim

sure thing. take your time. :)

- anonymous

4x+5+3x-2+4x+5+3x-2= 14x+6

- jtvatsim

Excellent! Good job!

- jtvatsim

Alright, so now we know that:
Perimeter of A = 4x + 14
Perimeter of B = 14x + 6.

- anonymous

so subtract 14x+6- 4x+14

- anonymous

?

- jtvatsim

Good, but be careful with your parentheses. We want the whole perimeter of A to be subtracted so we need
(14x + 6) - (4x + 14) in order to get the right answer.

- anonymous

so its 10x-8 ??

- jtvatsim

Exactly!

- anonymous

YAYYY THANKYOU SO MUCH :))

- jtvatsim

You're welcome! Good job!

- anonymous

:)

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