$9\mathrm{.}1$

$($The Rectangle class$)$ Design a class named Rectangle to represent a rectangle.

The class contains:

$$ Two double data fields named width and height that specify the width and height of the rectangle.

$$ A no$-$arg constructor that creates a rectangle with width $1$ and height $1.$

$$ A constructor that creates a default rectangle with the specified width and height.

$$ The accessor and mutator functions for all the data fields.

$$ A function named getArea that returns the area of this rectangle.

$$ A function named getPerimeter that returns the perimeter.

Draw the UML diagram for the class. Implement the class. Write a test program that creates two Rectangle objects. Assign width $4$ and height $40$ to the first object and width $3.5$ and height $35.9$ to the second. Display the properties of both objects and find their areas and perimeters.

$9\mathrm{.}3$

$($The Account class$)$ Design a class named Account that contains:

$$ An int data field named id for the account.

$$ A double data field named balance for the account.

$$ A double data field named annualInterestRate that stores the current interest rate.

$$ A no$-$arg constructor that creates a default account with id $0,$ balance $0,$ and annualInterestRate $0.$

$$ The

accessor

and

mutator functions for id$,$ balance, and

annualInterestRate.

$$ A function named getMonthlyInterestRate that returns the monthly interest rate.

$$ A function named withdraw$($amount$)$ that withdraws a specified amount from the account.

$$ A function named deposit $($amount$)$ that deposits a specified amount to the account.

Draw the UML diagram for the class. Implement the class. Write a test program that creates an Account object with an account ID of $1122,$ a balance of $20000,$ and an annual interest rate of $4\mathrm{.}5\%.$ Use the withdraw function to withdraw $$2500,$ use the deposit function to deposit $$3000,$ and print the balance, the monthly interest.

$*9\mathrm{.}5$

$($The Time class$)$ Design a class named Time. The class contains:

$$ Data fields hour, minute, and second that represent a time.

$$ A no$-$arg constructor that creates a Time object for the current time.

$$ A constructor that constructs a Time object with a specified elapsed time since the middle of night, Jan $1,1970,$ in seconds.

$$ A constructor that constructs a Time object with the specified hour, minute, and second.

$$ Three get functions for the data fields hour, minute, and second.

$$ A function named setTime$($int elapseTime$)$ that sets a new time for the object using the elapsed time.

Draw the UML diagram for the class. Implement the class. Write a test program that creates two Time objects, one using a no$-$arg constructor and the other using Time $(555550),$ and display their hour, minute, and second.

$($Hint: The first two constructors will extract hour, minute, and second from the elapsed time. For example, if the elapsed time is $555550$ seconds, the hour is $10,$ the minute is $19,$ and the second is $9.$ For the no$-$arg constructor, the current time can be obtained using time$(0),$ as shown in Listing $2\mathrm{.}9,$ ShowCurrentTime.cpp$.)$