Python Exercise $1$

Area of an Octagon $(15$ points$)$

Write a program that prompts the user to enter the side of an octagon and displays its area. The area of an octagon is $A=2(1+\sqrt[\phantom{2}]{2})s^2,$ where $s$ is the side of an octagon. Assume that the side entered is positive, and do not import the math module $($or use any predefined functions$).$ Format your result to $5$ decimal places.

Sample output is shown below:

Enter the side length of the octagon: $5\mathrm{.}5$

The area of an octagon with side length $5\mathrm{.}5$ is $146\mathrm{.}05992$

Calculating Energy $(15$ points$)$

The formula to compute the energy needed to heat water from an initial temperature to a final temperature is:

final temperature $-$ initial temperature