Area of Cut Rectangle Calculator

Formula Used:

\[ A = (S_{Long} \times S_{Short}) - \frac{(S_{Long} - S_{Long\ Cut}) \times (S_{Short} - S_{Short\ Cut})}{2} \]

Long Rectangle Side of Cut Rectangle:

Short Rectangle Side of Cut Rectangle:

Long Cut Side of Cut Rectangle:

Short Cut Side of Cut Rectangle:

Area of Cut Rectangle:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is the Area of Cut Rectangle?

The Area of Cut Rectangle is the total quantity of plane enclosed by the boundary of the Cut Rectangle. It represents the remaining area after a rectangular portion has been removed from a larger rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ A = (S_{Long} \times S_{Short}) - \frac{(S_{Long} - S_{Long\ Cut}) \times (S_{Short} - S_{Short\ Cut})}{2} \]

Where:

\( A \) — Area of Cut Rectangle (m²)
\( S_{Long} \) — Long Rectangle Side of Cut Rectangle (m)
\( S_{Short} \) — Short Rectangle Side of Cut Rectangle (m)
\( S_{Long\ Cut} \) — Long Cut Side of Cut Rectangle (m)
\( S_{Short\ Cut} \) — Short Cut Side of Cut Rectangle (m)

Explanation: The formula calculates the total area of the original rectangle and subtracts half the area of the removed rectangular portion.

3. Importance of Area Calculation

Details: Calculating the area of cut rectangles is important in various fields including architecture, engineering, manufacturing, and material estimation where precise area calculations are required for irregular shapes.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that cut dimensions are less than or equal to the original rectangle dimensions. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What if the cut dimensions are larger than the original rectangle?
A: The calculator requires that cut dimensions cannot exceed the original rectangle dimensions. Please ensure valid input values.

Q2: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert your measurements to meters before input.

Q3: What is the precision of the calculation?
A: The calculator provides results with 4 decimal places for accurate area measurements.

Q4: Does this formula work for all types of cut rectangles?
A: This formula specifically calculates the area when a rectangular portion is removed from a corner of a larger rectangle.

Q5: Can I use this for material estimation?
A: Yes, this calculator is useful for estimating material requirements in construction and manufacturing where rectangular cuts are involved.