Area Of Cut Rectangle Given Perimeter And Short Rectangle Side Calculator

Formula Used:

\[ Area = (S_{Long} \times S_{Short}) - \frac{(S_{Long} - S_{Long\ Cut}) \times (S_{Short} - (P - (S_{Long} + S_{Short} + S_{Long\ Cut} + S_{Slant})))}{2} \]

Long Rectangle Side (S_Long):

Short Rectangle Side (S_Short):

Long Cut Side (S_{Long Cut}):

Perimeter (P):

Slant Side (S_Slant):

Area of Cut Rectangle:

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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 portion has been removed from a complete rectangle.

2. How Does the Calculator Work?

The calculator uses the following formula:

\[ Area = (S_{Long} \times S_{Short}) - \frac{(S_{Long} - S_{Long\ Cut}) \times (S_{Short} - (P - (S_{Long} + S_{Short} + S_{Long\ Cut} + S_{Slant})))}{2} \]

Where:

\( S_{Long} \) — 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)
\( P \) — Perimeter of Cut Rectangle (m)
\( S_{Slant} \) — Slant Side of Cut Rectangle (m)

Explanation: The formula calculates the area by subtracting the area of the removed triangular portion from the area of the original complete rectangle.

3. Importance of Area Calculation

Details: Calculating the area of cut rectangles is important in various engineering, architectural, and construction applications where irregular shapes are formed by cutting portions from standard rectangular materials.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure that the perimeter value is consistent with the sum of all sides of the cut rectangle. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cut Rectangle?
A: A Cut Rectangle is a geometric shape formed by removing a triangular portion from a corner of a complete rectangle.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise when all input values are accurate and consistent with the geometric constraints.

Q3: Can this calculator handle different units?
A: The calculator uses meters as the default unit. For other units, convert all measurements to meters before calculation.

Q4: What if the calculated area is negative?
A: A negative area indicates inconsistent input values that don't form a valid cut rectangle geometry.

Q5: Are there any limitations to this formula?
A: The formula assumes the cut is made at a right angle and the remaining shape maintains the properties of a cut rectangle.