To write a function that uses helper functions inside another function

A helper function is a function that is meant to be called from some other "bigger" function. It$$s a technique

for dividing a problem into parts, and thus very important in computer science. For this question, you$$ll

create a function that uses two other helper functions to do its work.

Painting a House

Mrs$.$ Peacock loves the color blue. She wants to paint the entire outside of her house blue, including the

roof!

The house has four walls, and all of the walls are the same size. With W as the width of each wall and H

as the height of each wall, the formula for the total outer wall area is:

walls $=$ W $$ H $4$

The roof is a pyramid, which is to say that it is made up of four isosceles triangles. The width of the base

of this pyramid must be W $,$ i$.$e$.$ the width of each wall. If we let T be the height of each of the triangles that

make up the pyramid $($in geometry this is often called the slant height$),$ then the formula for the total roof

area is:

roof $=4$ W $$ T $/2$

All of the above units of size are in meters. If we are also told the cost of paint per square meter, then our

task is to calculate the total cost for the paint needed to paint the house.

Helper Functions

First, write the following two helper functions. They will be very short and simple. That$$s ok; in fact, that$$s

the point.

$$ A function to calculate the area of the walls

$$ A function to calculate the area of the roof

In both cases, the functions should take only the parameters they need to perform their computations.

Total Cost Function

Next, write a function to compute and return the total cost of paint needed to paint the house. The function

should have four parameters:

$$ the width of the walls

$$ the height of the walls

$$ the slant height of the roof $($i$.$e$.$ the height of each triangle$)$

$$ the cost per sq$.$ m$.$ of paint

This function should call the helper functions to perform their part of the calculation.

Console I$/$O

In the main part of your program $($i$.$e$.$ NOT inside the function$$s body$),$ use console input to get the values

needed by your function. You may assume that the user supplies valid input. Then call your function using

those values to get the total cost of painting the house. Finally, display a message that indicates the total

cost$.$

Sample Run

Here is an example of how your program$$s console output might look. Green text was entered by the user;

blue text came from data returned by the function.