the perimeter of the square is 208 in. Find the value of x

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the perimeter of the square is 208 in. Find the value of x

Mathematics
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|dw:1439948377100:dw|
all 4 sides @Vocaloid and its 7x+3
hint: 4(side) = perimeter

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Other answers:

4+3=7?
side = ?
not getting you here?
what is the length of one side? look at the diagram...
(7x+3)in
right, and perimeter = ?
208in
good, so plug side and perimeter into the equation 4*(side) = perimeter
28+12 then =
40
not quite... you're forgetting the x
4(7x+3) = ?
40X
nope, still not quite right...
4(7x+3) = 4*(7x) + 4*(3) = ?
12
again, you're forgetting the x... 4*(7x) = __?
18x
28
x
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?
yes
4*7=28 4*3=12 28+12=40 but that isnt it what am i doing wrong
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?
yes
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?
28
12
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
Do you know what our next step is for solving 208 = 28x + 12?
40 thats what i put up there
208=40
Not quite. We have to use the order of operations and all that jazz
ohhhhhh
16
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
So, we have 208 - 12 = 28x + 12 - 12 208 - 12 = 28x Can you tell me what is 208 - 12?
oh
7
thanks. :)
Ah, right :) No problem. x = 7

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