Maximum Area Calculator





Formula

The formula to calculate the Maximum Area (MA) is:

\[ MA = \frac{P - 2 \cdot SL}{2} \cdot SL \]

Where:

What is Maximum Area?

The Maximum Area (MA) is the largest possible area that can be enclosed within a given perimeter and side length. This calculation is useful in various fields such as architecture, engineering, and land planning.

Example Calculation 1

Let's assume the following values:

Step 1: Subtract 2 times the side length from the perimeter:

\[ P - 2 \cdot SL = 100 - 2 \cdot 20 = 60 \text{ ft} \]

Step 2: Divide the result by 2:

\[ \frac{60}{2} = 30 \text{ ft} \]

Step 3: Multiply by the side length:

\[ MA = 30 \cdot 20 = 600 \text{ ft}^2 \]

The Maximum Area (MA) is 600 ft².

Example Calculation 2

Let's assume the following values:

Step 1: Subtract 2 times the side length from the perimeter:

\[ P - 2 \cdot SL = 80 - 2 \cdot 15 = 50 \text{ ft} \]

Step 2: Divide the result by 2:

\[ \frac{50}{2} = 25 \text{ ft} \]

Step 3: Multiply by the side length:

\[ MA = 25 \cdot 15 = 375 \text{ ft}^2 \]

The Maximum Area (MA) is 375 ft².