The Westfield Carpet Company has asked you to write an application that calculates the price of carpeting for rectangular rooms. To calculate the price, you multiply the area of the floor (width times length) by the price per square foot of carpet. For example, the area of the floor that is 12 feet long and 10 feet wide is 120 square feet. To cover that floor with carpet that costs $8 per square foot would cost $960.

First, you should create a class named RoomDimension that has two fields: one for the length of the room and one for the width of the room. The RoomDimension class should have a method that returns the area of the room.

Next, you should create a RoomCarpet class that has a RoomDimension object as a field. It should also have a field for the cost of the carpet per square foot. The RoomCarpet class should have a method that calculates and returns the cost of the carpet.

Once you have the two classes, write a test program to ask the user to enter the dimensions of a room and the price per square foot of the desired carpeting. Then display the total cost of the carpet.

You will write three java files:

1. RoomDimension.java: defines the RoomDimension class

2. RoomCarpet.java: defines the RoomCarpet class, which has a RoomDimension object as a data field

3. the test program

RoomCarpet -size: RoomDimension -carpetCost: double +RoomCarpet(dim: RoomDimension, cost: double): +RoomCarpet(rc: RoomCarpet) +getTotalCost(): double +getSize(): RoomDimension +getCarpetCost(): double +toString(): String | RoomDimension -length: double -width:double +RoomDimension(len: double, wid: double) +RoomDimension(rd: RoomDimension) +getArea(): double +toString(): String