CMIS 102 Lab 3 – Trapezoid araa Overview Solved

This hands-on lab allows you to follow and experiment with the critical steps of developing a program including the program description, analysis, test plan, design, pseudocode visualization, and implementation with C code.  The example provided uses mathematical operators and variable types.

Program Description
This program will calculate the area of a trapezoid. The program will ask the user to enter the two bases and height and then use these values to calculate and then print the area of the trapezoid. The design step will include pseudocode.

Analysis
I will use sequential programming statements. 

I will define three float numbers for the two bases and the height: baseA, baseB, height.  Float numbers were selected as opposed to integers to make sure trapezoids of all dimensions are possible and not just whole numbers.  Float number will store the area: area

The area will be calculated by this formula:

Area = ½ * (baseA + baseB) * height

For example if the bases are 4.7 and 2.1, and the height is 5.3 the area is calculated as:

Area = ½ * (4.7 + 2.1) * 5.3 = ½ * 6.8 * 5.3 = 3.4 * 5.3 = 18.02

 

Test Plan
To verify this program is working properly the following baseA, baseB and height values could be used for testing:

Test Case
baseA
baseB
height
Expected Output
Notes:
1
3
4
5
17.5
Small integers
2
5
5
5
25
Square or Rhombus
3
0
3
4
6
Triangle
4
10.1
8.3
12.2
112.24
Some fractions
5
2.67
6.23
3.23
14.3735
More fractions
6
120
450
874
249090.000
Larger numbers
 

                 

Pseudocode
// This program will calculate the area of a trapezoid. 

// Declare variables

Declare baseA, baseB, height, area as Float

 

// Ask User for Inputs

Write “Enter the first trapezoid base:”

Input baseA

Write “Enter the second trapezoid base:”

Input baseB

Write “Enter triangle height:”

Input height

// Set value of area

Set area=1/2*(baseA + baseB) * height

// Print area

Print “Area of the trapezoid is “ + area

 

C  Code
The following is the C Code that will compile in execute in the online compilers.

// C code

// This program will calculate the area of a trapezoid.

// Developer: Faculty CMIS102

// Date: Jan 31, XXXX #include <stdio.h

 int main ()

{

  /* variable definition: */   float baseA, baseB, height, area;

  /* Prompt user for baseA */

  printf("Enter the first base of the trapezoid: \n");

  // Input the base   scanf("%f", &baseA);

  /* Prompt user for baseB */

  printf("Enter the second base of the trapezoid: \n");

  // Input the baseB   scanf("%f", &baseB);   /* Prompt user for height */

  printf("Enter the height of the trapezoid: \n");

  // Input the height   scanf("%f", &height);   // Calculate the Area

  area= 0.5 * (baseA+ baseB) * height;

  // Print the result   printf("Area is : %f\n", area);   return 0;

}      

                 

Setting up the code in repl.it:

 

And the conversation panel:

 

Note the bases and height (4.7, 2.1 and 5.3) are entered in as responses to the prompts.  You can change these values to any valid float values to match your test cases.

                 

Learning Exercises for you to complete
1.       Demonstrate you successfully followed the steps in this lab by preparing screen captures of you running the lab as specified in the Instructions above.

 

2.       Change the C code to calculate the perimeter of the corresponding right trapezoid, where two of the angles are 90°. Support your experimentation with a screen capture of an execution of the new code. A little geometry, using the Pythagorean Theorem, will derive the following formula for the perimeter:

P = baseA + baseB + height + squareRoot (height^2 + (baseA – baseB)^2) Which can be coded as:

perimeter = baseA + baseB + height + 

            sqrt (height*height + (baseA – baseB)*(baseA – baseB))

NOTE: The code will also need the following include statement added just after the 

“#include <stdio.h“ line in the code:

#include <math.h

 

3.       Prepare a new test table with at least 3 distinct test cases listing input and expected output for the perimeter of a right trapezoid.

 

4.       What is this line of code doing? 

 

scanf("%f", &height);  

 

How would you change this line if you wanted to input an Integer as opposed to a float?

 

5.       What are the values of g and h after executing the following C code?

#include <stdio.h

 int main(void) {   int i,j;   float f,g,h;

     i = 5; j = 2;   f = 3.0;   g = f + j / i;   h = (f + j)/i;

   printf("values of g,h are %f,%f\n", g,h);   return 0;

}

 

Describe specifically, and in your own words, why are the values of g and h different?  Support your experimentation with a screen capture of an execution of the code.