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Slav-nsk [51]
3 years ago
9

You have a 32-foot fence around a square garden. You paint 1/3 of one side of the fence. What fraction of the fence did you pain

t?
Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0
The answer is 1/12.

The perimeter of a square garden with side s is:
P = 4s

s = 1/4P

Since it is painted 1/3 of 1/4 of the fence, the<span> fraction of the painted fence is:
1/3 * 1/4 = 1/12</span>
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3 years ago
The length of a rectangle is 2 ft longer than its width.
tino4ka555 [31]

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

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56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

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Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4  ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

<u>L=15</u>

W=x-2=15-2=13

<u>W=13</u>

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

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After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

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3 years ago
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