Answer:
![\large\boxed{C=22\pi y\ ft}](https://img.qammunity.org/2020/formulas/mathematics/high-school/qg0tctwac8ac1epi3madn78zbb3jbvenvr.png)
Explanation:
The formula of an area of a circle:
![A=\pi r^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/j29wdsg40jbed167khn7fs44y2z9velxu7.png)
r - radius
The formula of a circumference of a circle:
![C=2\pi r](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kmguleyi3d7rsbh4zj0jg7p7fumid62phf.png)
We have the area of a circle
![A=121y^2\pi ft^2](https://img.qammunity.org/2020/formulas/mathematics/high-school/q3jd3xncv0r0s9z2ppvtdhos8q516dgxl3.png)
Substitute to the formula and solve for r:
divide both sides by π
![r^2=121y^2\to r=√(121y^2)\\\\r=11y\ ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/non2ut5godl84edn7e3npnzzxflrj01yuz.png)
Put the value of r to the formula of a circumference:
![C=2\pi(11y)=22y\pi ft](https://img.qammunity.org/2020/formulas/mathematics/high-school/c2d6v74yip68kxab7yfpnpm0r2xinf0kw6.png)