Answer: The diameter is 12ft.
Step-by-step explanation:
The length of the rope will be equal to the perimeter of the trampoline.
We know that the trampoline is circular, so the perimeter of a circle can be written as
P = 2*pi*r
where r is the radius, and pi = 3.14...
Then we now should find the perimeter.
if 1ft of rope costs $2.75
now, how many times we can fit $2.75 in $104.50?
We look at the quotient
$104.50/$2.75 = 38
So 38 times, this means that the full rope is 38 times 1 ft, or 38 ft long.
Then the perimeter of the circle is 38ft.
P = 38ft = 2*3.14*r
Now we can find the value of the radius:
r = 38ft/(2*3.14) = 6.05 ft
Now, we want to find the diameter, and we know that the diameter is two times the radius, then:
d = 2*r = 2*(6.05ft) = 12.1 ft.
But we want this to the nearest foot, so we should round it down to 12ft.
The diameter is 12ft.
