anonymous
  • 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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
can someone help me on this?? i dont understand it
jtvatsim
  • 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
  • anonymous
ok great

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jtvatsim
  • 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
  • anonymous
okay
jtvatsim
  • 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
  • jtvatsim
|dw:1436922996057:dw|
jtvatsim
  • jtvatsim
Alright, does that picture make sense so far?
anonymous
  • anonymous
yes, it does
jtvatsim
  • jtvatsim
OK, perfect! We are almost done with the hardest part. Do you remember how to find the perimeter?
anonymous
  • anonymous
you time it by each side ??
anonymous
  • anonymous
times*
jtvatsim
  • jtvatsim
Close, that's the area (they often get confused). :)
jtvatsim
  • jtvatsim
It's actually easier... we just add all four sides together and measure the outside of the rectangle.
anonymous
  • anonymous
ooh okay
jtvatsim
  • jtvatsim
(x+8) + (x-1) + (x+8) + (x-1) = 4x + 16 - 2 = 4x + 14. There that's better.
jtvatsim
  • jtvatsim
So that is the perimeter of A. Any questions on how we did that part?
anonymous
  • anonymous
nope
jtvatsim
  • jtvatsim
OK. Now, we just do exactly the same thing for rectangle B.
jtvatsim
  • jtvatsim
We have different numbers: B width = 3x - 2 B length = 4x + 5
jtvatsim
  • jtvatsim
|dw:1436923340928:dw|
anonymous
  • anonymous
awesome
jtvatsim
  • 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
  • anonymous
ok give me a second
jtvatsim
  • jtvatsim
sure thing. take your time. :)
anonymous
  • anonymous
4x+5+3x-2+4x+5+3x-2= 14x+6
jtvatsim
  • jtvatsim
Excellent! Good job!
jtvatsim
  • jtvatsim
Alright, so now we know that: Perimeter of A = 4x + 14 Perimeter of B = 14x + 6.
anonymous
  • anonymous
so subtract 14x+6- 4x+14
anonymous
  • anonymous
?
jtvatsim
  • 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
  • anonymous
so its 10x-8 ??
jtvatsim
  • jtvatsim
Exactly!
anonymous
  • anonymous
YAYYY THANKYOU SO MUCH :))
jtvatsim
  • jtvatsim
You're welcome! Good job!
anonymous
  • anonymous
:)

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