in c$++$ form thanks Write a program for each of the following problem statements:

$5$ points $-$ documentation for programs $($comments$,$ descriptive program names, descriptive variable names$)$

$1.($menushape$.$cpp$)$ Create a program that displays a menu to calculate the area of a circle, a rectangle, a square, or a triangle. The program should calculate the area of the figure selected. The display should look something like this:

Shape Area Calculator $($SAC$)$

$1.$ Calculate the area of a Circle

$2.$ Calculate the area of a Rectangle

$3.$ Calculate the area of a Square

$4.$ Calculate the area of a Triangle

$5.$ Quit

Enter your choice $(1-5)$:

$10$ points $-$ display of menu

$10$ points $-$ validate input for menu options

$20$ points $-$ correct output for each option

$2.($mathgame$.$cpp$)$ Create a program that displays a menu to select addition, subtraction, or multiplication. Using random numbers between $0$ and $12($including $0$ and $12),$ present a math problem of the type selected to the user. Display a "correct" or "incorrect" message after the user enters their answer.

$10$ points $-$ display of menu

$10$ points $-$ validate input for menu options

$10$ points $-$ correct addition

$10$ points $-$ correct subtraction

$5$ points $-$ no negative answers allowed for subtraction

$10$ points $-$ correct multiplication

$10$ bonus points $-$ implement a division option with no decimal answers and no division by zero