$($The GeometricObject class$)$

Design a class named GeometricObject as shown in the following UML diagram:

GeometricObject

$-$color: String

$-$filled: boolean

$-$dateCreated: java.uti$1.$Date

$+$GeometricObject$()$

$+$GeometricObject $($color: String,

filled: boolean$)$

$+$getColor$()$: String

$+$setColor$($color: String$)$: void

$+$isFilled$()$: boolean

$+$setFilled$($filled: boolean$)$: void

$+$getDate$($reated$()$: java.uti$1.$ Date

$+$toString$()$: String

The color of the object $($default: white$).$ Indicates whether the object is filled with a color $($default: false$).$ The date when the object was created.

Creates a GeometricObject.

Creates a GeometricObject with the specified color and filled values.

Returns the color.

Sets a new color.

Returns the filled property.

Sets a new filled property.

Returns the dateCreated.

Returns a string representation of this object.

$($The Triangle class$)$

Design a class named Triangle that extends GeometricObject. The class contains:

Three double data fields named side$1,$ side$2,$ and side$3$ with default values $1\mathrm{.}0$ to denote three sides of the triangle.

A no$-$arg constructor that creates a default triangle.

A constructor that creates a triangle with the specified side$1,$ side$2,$ and side$3.$

The accessor and mutator methods for all three data fields.

A method named getArea$()$ that returns the area of this triangle.

A method named getPerimeter$()$ that returns the perimeter of this triangle.

A method named toString$()$ that returns a string description for the triangle.

The toString$()$ method is implemented as follows:

return "Triangle: side$1="+$ side$1+"$ side$2="+$ side$2+"$ side$3="+$ side$3$;

Draw the UML diagrams for the classes Triangle and GeometricObject and implement the classes. Write a test program that prompts the user to enter three sides of the triangle, a color, and a Boolean value to indicate whether the triangle is filled. The program should create a Triangle object with these sides and set the color and filled properties using the input. The program should display the area, perimeter, color, and true or false to indicate whether it is filled or not.

Create a linked list of four triangle objects, then traverse this list to print their area.