Answer:
120m
Step-by-step explanation:
Each side of square have same length, assume x for one side of square:
x^2=900
x=30
perimeter:30x4=120m
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that
![\frac{a_2}{a_1}=\frac{a_3}{a_2}\\\\\frac{x}{18}=\frac{8}{x}\\\\x^2=18\times 8\\\\x^2=144\\\\x=\sqrt{144}\\\\x=12](https://tex.z-dn.net/?f=%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7Ba_3%7D%7Ba_2%7D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B18%7D%3D%5Cfrac%7B8%7D%7Bx%7D%5C%5C%5C%5Cx%5E2%3D18%5Ctimes%208%5C%5C%5C%5Cx%5E2%3D144%5C%5C%5C%5Cx%3D%5Csqrt%7B144%7D%5C%5C%5C%5Cx%3D12)
Hence, the length of the second arc is 12 feet.
2nd, 3rd, 5th, & 6th are the correct answers.
[tex]4r^{2} =64
r^{2} =16
r= \sqrt{16} = ±4