The Jellybean company is building a new cylinder container with a height of 3.5 inches and a radius of
2 inches. It needs a diagonal divider to separate the two flavors it plans on packing per container. The
production of this divider is being outsourced for manufacturing. What should be the length of the
diagonal divider after removing ¼ of an inch from its top to accommodate for packaging decorative
paper?

Length of diagonal paper is 5.15 inch.

Step-by-step explanation:

Please refer to the images attached.

As per the cylindrical image, we have radius given as 2 inches.

Height as 3.5 inches - 0.25 inches = 3.25 inches

If we look closely, we actually have a right angled triangle whose

Base = 2+2 = 4 inches

Height = 3.25 inches

And we have to find the hypotenuse of triangle:

According to pythagoras theorem:

Hence, Length of diagonal paper required is 5.15 inch.

Alright, lets get started.

Two sides of the rectange are 14 and s.

So, the area of the rectange would be =

So, the area of the rectange would be =

A triangle is cut from the rectangle.

The height of the triangle is =

The base of the triangle is = 14

So area of the triangle would be =

area of the triangle would be =

area of the triangle would be =

So, the area of shaded region = area of rectange - area of triangle

the area of shaded region =

As per given in question, area of shaded region is 84, hence

equation

So, this is the equation for s : Answer

Hope it will help :)