anonymous
  • anonymous
the perimeter of the square is 208 in. Find the value of x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1439948377100:dw|
anonymous
  • anonymous
all 4 sides @Vocaloid and its 7x+3
Vocaloid
  • Vocaloid
hint: 4(side) = perimeter

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More answers

anonymous
  • anonymous
4+3=7?
Vocaloid
  • Vocaloid
side = ?
anonymous
  • anonymous
not getting you here?
Vocaloid
  • Vocaloid
what is the length of one side? look at the diagram...
anonymous
  • anonymous
(7x+3)in
Vocaloid
  • Vocaloid
right, and perimeter = ?
anonymous
  • anonymous
208in
Vocaloid
  • Vocaloid
good, so plug side and perimeter into the equation 4*(side) = perimeter
anonymous
  • anonymous
28+12 then =
anonymous
  • anonymous
40
Vocaloid
  • Vocaloid
not quite... you're forgetting the x
Vocaloid
  • Vocaloid
4(7x+3) = ?
anonymous
  • anonymous
40X
Vocaloid
  • Vocaloid
nope, still not quite right...
Vocaloid
  • Vocaloid
4(7x+3) = 4*(7x) + 4*(3) = ?
anonymous
  • anonymous
12
Vocaloid
  • Vocaloid
again, you're forgetting the x... 4*(7x) = __?
anonymous
  • anonymous
18x
anonymous
  • anonymous
28
anonymous
  • anonymous
x
sammixboo
  • sammixboo
Well, since we know the perimeter is 208 inches, and one side is (7x +3) we can make an equation 208 = 4(7x+3) 208 is perimeter 4 is for all 4 sides (7x+3) is the length of one side. We gotta solve for x using this equation 208 = 4(7x+3), do you know how to do this?
anonymous
  • anonymous
yes
anonymous
  • anonymous
4*7=28 4*3=12 28+12=40 but that isnt it what am i doing wrong
sammixboo
  • sammixboo
Great, so our first step would be is to simplify 4(7x + 3), which is what @Vocaloid was trying to explain. Do you know what distributing is?
anonymous
  • anonymous
yes
sammixboo
  • sammixboo
You are close, just forgetting the x. Distributing is when you take the number on the outside of the parenthesis (in this case our number is 4) and multiply it by all the numbers INSIDE the parenthesis (which is 7x and 3) So we have to multiply: 4 and 7x 4 and 3 We know that 4*3 is equal to 12, so we got that down. Now for 4*7x. We have to multiply the 4 and 7, but let's not forget about the x. After you multiplied 4 and 7, throw on the x on your answer. What is 4*7?
anonymous
  • anonymous
28
anonymous
  • anonymous
12
sammixboo
  • sammixboo
Right, now we add the x, so our answer for 4*7x is 28x! And we also know that: 4(7x + 3) = 28x + 12 Now let's continue on with our new equation, 208 = 28x + 12
sammixboo
  • sammixboo
Do you know what our next step is for solving 208 = 28x + 12?
anonymous
  • anonymous
40 thats what i put up there
anonymous
  • anonymous
208=40
sammixboo
  • sammixboo
Not quite. We have to use the order of operations and all that jazz
anonymous
  • anonymous
ohhhhhh
anonymous
  • anonymous
16
sammixboo
  • sammixboo
We have to subtract 12 on both sides of the equation, since we are originally adding it. We have to isolate the x on one side of the equation, and this is our first step of solving this
sammixboo
  • sammixboo
So, we have 208 - 12 = 28x + 12 - 12 208 - 12 = 28x Can you tell me what is 208 - 12?
anonymous
  • anonymous
oh
anonymous
  • anonymous
7
anonymous
  • anonymous
thanks. :)
sammixboo
  • sammixboo
Ah, right :) No problem. x = 7

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