Answer:
![10.71 yd](https://tex.z-dn.net/?f=10.71%20yd)
Step-by-step explanation:
First let's find the radius of the quarter circle.
![area =\frac{1}{4} \pi {r}^{2} \\ 7.065 = \frac{1}{4} *3.14 {r}^{2} \\ \frac{7.065}{3.14} = \frac{1}{4} * \frac{3.14 {r}^{2} }{3.14} \\ 9 = {r}^{2} \\ \sqrt{9} = r \\ 3 yd= r](https://tex.z-dn.net/?f=area%20%3D%5Cfrac%7B1%7D%7B4%7D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20%5C%5C%20%207.065%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A3.14%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Cfrac%7B7.065%7D%7B3.14%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%2A%20%5Cfrac%7B3.14%20%7Br%7D%5E%7B2%7D%20%7D%7B3.14%7D%20%20%5C%5C%20%209%20%3D%20%20%7Br%7D%5E%7B2%7D%20%20%5C%5C%20%20%5Csqrt%7B9%7D%20%20%3D%20r%20%5C%5C%203%20yd%3D%20r)
Now let's find the arc length of this quarter circle.
![\frac{90}{360} \times 2\pi \: r \\ \frac{1}{4} \times 2 \times 3.14 \times 3 \\ = \frac{9.42}{4} \\ = 4.71yd \\](https://tex.z-dn.net/?f=%20%5Cfrac%7B90%7D%7B360%7D%20%20%5Ctimes%202%5Cpi%20%5C%3A%20r%20%5C%5C%20%20%5Cfrac%7B1%7D%7B4%7D%20%20%5Ctimes%202%20%5Ctimes%203.14%20%5Ctimes%203%20%5C%5C%20%20%3D%20%20%5Cfrac%7B9.42%7D%7B4%7D%20%20%5C%5C%20%20%3D%204.71yd%20%5C%5C%20)
Now let's find the perimeter![perimeter \\ = arc \: \: length + radius + radius \\ = 4.71 + 3 + 3 \\ = 10.71yd](https://tex.z-dn.net/?f=perimeter%20%5C%5C%20%20%3D%20arc%20%5C%3A%20%20%5C%3A%20length%20%2B%20radius%20%2B%20radius%20%5C%5C%20%20%3D%204.71%20%2B%203%20%2B%203%20%5C%5C%20%20%3D%2010.71yd)
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Expand: 4x+8-3x+6
simplify: x+14
For your first question: find a common denominator first
for your second question :whats 360 divided by 30??
(2x100) (3x10) (2x1) / (4x1)