One acre of land is equivalent to 43,560 square feet

One acre of land is equivalent to 43,560 square feet. Design a program that asks the user to enter the total square feet in a tract of land and calculates the number of acres in the tract. Hint: Divide the amount entered by 43,560 to get the number of acres.

The Correct Answer and Explanation is :

Here’s a simple Python program that asks the user to input the total square footage of a tract of land and calculates the number of acres:

# Program to calculate the number of acres based on the square footage

# Constant representing one acre in square feet
SQ_FEET_PER_ACRE = 43560

# Prompt user for total square footage of land
square_feet = float(input("Enter the total square feet of land: "))

# Calculate the number of acres
acres = square_feet / SQ_FEET_PER_ACRE

# Output the result
print(f"The number of acres in the tract of land is: {acres:.2f}")

Explanation:

  1. Understanding Square Footage and Acres:
    One acre of land is equal to 43,560 square feet. This conversion factor is used when you want to convert a given area from square feet to acres.
  2. Program Design:
  • We start by defining a constant, SQ_FEET_PER_ACRE, which holds the value of one acre in square feet (43,560).
  • The program then prompts the user to enter the total square footage of the tract of land they are measuring.
  • The program uses the formula:
    [
    \text{Acres} = \frac{\text{Square Feet}}{43,560}
    ]
    This formula divides the total square footage entered by the constant (43,560) to calculate the number of acres.
  • Finally, the program displays the result. The result is rounded to two decimal places for clarity using Python’s formatted string literal ({acres:.2f}).
  1. Why This Works:
  • The division by 43,560 gives us the exact number of acres for any given square footage.
  • For example, if you enter 87,120 square feet, the calculation would be:
    [
    \text{Acres} = \frac{87,120}{43,560} = 2 \text{ acres}
    ]
  • The program is user-friendly and easy to modify. If you wanted to include error checking for non-numeric inputs, it could be added to make it more robust.

This method of calculation can be used in various real estate, agricultural, or land management applications, where it’s important to know the size of a plot of land in acres based on its square footage.

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