Jenna has a round trampoline with an area of 153.86 feet squared. Jenna is 2 points

buying a cover to put around the edge of the trampoline. What is length of

the cover that will wrap around the edge of the trampoline? Use 3.14 for

pi. +


22.19 ft


22.19 ft2


43.96 ft


43.96 ft2

Respuesta :

Answer:

The length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.

Step-by-step explanation:

Given that,

Area of trampoline, [tex]A=153.86\ ft^2[/tex]

Jeena wants to buy a cover to put around the edge of the trampoline. We need to find the length of the cover that will wrap around the edge of the trampoline. First of all, lets find the radius of trampoline. Let is is r. So,

[tex]\pi r^2=153.86 \\\\r=\sqrt{\dfrac{153.86 }{3.14}} \\\\r=7\ ft[/tex]

To find the length of  the cover that will wrap around the edge of the trampoline we will find circumference of the trampoline as :

[tex]C=2\pi r\\\\C=2\times 3.14\times 7\\\\C=43.96\ ft[/tex]

So, the length of  the cover that will wrap around the edge of the trampoline is 43.96 ft.