Area of Cut Rectangle Given Perimeter and Short Cut Side Calculator

Formula Used:

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

Long Rectangle Side (S_Long):

Perimeter (P):

Long Cut Side (S_{Long Cut}):

Short Cut Side (S_{Short Cut}):

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 of a rectangle after a portion has been removed.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: This formula calculates the area of a cut rectangle by considering the original rectangle dimensions and the cut portions.

3. Importance of Area Calculation

Details: Calculating the area of cut rectangles is important in various fields including architecture, engineering, and manufacturing where precise area measurements are needed for materials estimation and design.

4. Using the Calculator

Tips: Enter all dimensions in meters. Ensure all values are positive numbers. The long rectangle side should be greater than or equal to the long cut side.

5. Frequently Asked Questions (FAQ)

Q1: What is a Cut Rectangle?
A: A Cut Rectangle is a geometric shape formed by removing a portion (typically a right triangle) from a corner of a rectangle.

Q2: How accurate is this calculation?
A: The calculation is mathematically precise when correct measurements are provided. The result is rounded to 4 decimal places for practical use.

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 my long cut side is longer than the long rectangle side?
A: The formula requires that the long cut side must be less than or equal to the long rectangle side for a valid calculation.

Q5: How is the perimeter used in this calculation?
A: The perimeter helps determine the remaining sides of the cut rectangle after accounting for the known dimensions.