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Problem StatementRendall, an architect, is designing a garden with a unique quadrilateral shape. Develop a program to calculate the area of this quadrilateral using the lengths of its sides. Prompt Rendall to input the side lengths and output the area of the quadrilateral shape.Formula Area of a quadrilateral = √((s−a) * (s−b) * (s−c) * (s−d))where s = (a + b + c + d) / 2.0 and a, b, c, and d are the sides of the quadrilateral.Note: The power value is calculated using sqrt() function.Input format :The input consists of four space-separated double-values a, b, c, and d, representing the sides of the quadrilateral shape.Output format :The output prints "Area of the quadrilateral: " followed by a double value representing the area, rounded off to two decimal places.Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1.0 ≤ a, b, c, d ≤ 50.0Sample test cases :Input 1 :2.0 4.5 3.1 5.1Output 1 :Area of the quadrilateral: 12.07Input 2 :1.1 2.3 3.4 4.0Output 2 :Area of the quadrilateral: 6.11Input 3 :50.0 50.0 50.0 50.0Output 3 :Area of the quadrilateral: 25

Question

Problem StatementRendall, an architect, is designing a garden with a unique quadrilateral shape. Develop a program to calculate the area of this quadrilateral using the lengths of its sides. Prompt Rendall to input the side lengths and output the area of the quadrilateral shape.Formula Area of a quadrilateral = √((s−a) * (s−b) * (s−c) * (s−d))where s = (a + b + c + d) / 2.0 and a, b, c, and d are the sides of the quadrilateral.Note: The power value is calculated using sqrt() function.Input format :The input consists of four space-separated double-values a, b, c, and d, representing the sides of the quadrilateral shape.Output format :The output prints "Area of the quadrilateral: " followed by a double value representing the area, rounded off to two decimal places.Refer to the sample output for formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:1.0 ≤ a, b, c, d ≤ 50.0Sample test cases :Input 1 :2.0 4.5 3.1 5.1Output 1 :Area of the quadrilateral: 12.07Input 2 :1.1 2.3 3.4 4.0Output 2 :Area of the quadrilateral: 6.11Input 3 :50.0 50.0 50.0 50.0Output 3 :Area of the quadrilateral: 25

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Solution

To solve this problem, we can follow these steps:

  1. First, we need to prompt the user to input the lengths of the sides of the quadrilateral. We can do this using the input() function in Python. Since the input is space-separated, we can use the split() function to separate the inputs and then convert them to float using the float() function.

  2. Next, we calculate the semi-perimeter of the quadrilateral using the formula s = (a + b + c + d) / 2.0.

  3. Then, we calculate the area of the quadrilateral using the formula Area = √((s−a) * (s−b) * (s−c) * (s−d)). We can use the math.sqrt() function in Python to calculate the square root.

  4. Finally, we print the area of the quadrilateral, rounded off to two decimal places using the round() function in Python.

Here is a Python code snippet that implements these steps:

import math

# Prompt the user to input the side lengths
a, b, c, d = map(float, input().split())

# Calculate the semi-perimeter
s = (a + b + c + d) / 2.0

# Calculate the area
area = math.sqrt((s - a) * (s - b) * (s - c) * (s - d))

# Print the area
print("Area of the quadrilateral: ", round(area, 2))

This program will calculate and print the area of the quadrilateral given the lengths of its sides.

This problem has been solved

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