Answer:
5. D
6. 15 feet
Explanation:
5.
The amount of fringe cloth will go around the circular cloth.
We need to find the perimeter of a circle.
Perimeter (aka Circumference) of circle = 2πr
Where r is the radius (half of diameter)
Diameter is given as
![3(3)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/x9elpjgy2ckup6kpnuyjaewvcdswxh4uhq.png)
We convert this to improper fraction and divide by 2 to find the radius:
![r=(3(3)/(4))/(2)=((15)/(4))/(2)=(15)/(4)*(1)/(2)=(15)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/1b0v119z70uqd13mrqooc2lo8hp1l51h9l.png)
Now, the circumference (c):
![c=2\pi r=2\pi ((15)/(8))=11.78](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6ozj4x84oljwqfd3n0tq0dnd23kto9rwi7.png)
This, rounded to nearest whole number is 12 ft
Answer choice D is right.
6.
The amount of fringe around the square is the sum of all 4 sides with each of them measuring
feet.
We convert to improper fraction and add them up (4 times):
![3(3)/(4)=(15)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nlj9wf70widilojbkkusrvlzzbz97sc82f.png)
Now,
![(15)/(4)+(15)/(4)+(15)/(4)+(15)/(4)=(60)/(4)=15](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5up1mfpx56w39zuxps9q92b3cf2fr9p3gg.png)
The amount of cloth needed on square is 15 feet
There is no correct answer choice.