Area of Cut Rectangle given Perimeter and Long Cut Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
A = ((P-(SShort+SLong Cut+SShort Cut+SSlant))*SShort)-(((P-(SShort+SLong Cut+SShort Cut+SSlant))-SLong Cut)*(SShort-SShort Cut))/2
This formula uses 6 Variables
Variables Used
Area of Cut Rectangle - (Measured in Square Meter) - The Area of Cut Rectangle is the total quantity of plane enclosed by the boundary of the Cut Rectangle.
Perimeter of Cut Rectangle - (Measured in Meter) - The Perimeter of Cut Rectangle is the total length of all the boundary lines of the Cut Rectangle.
Short Rectangle Side of Cut Rectangle - (Measured in Meter) - The Short Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms.
Long Cut Side of Cut Rectangle - (Measured in Meter) - The Long Cut Side of Cut Rectangle is the remaining length of length of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion.
Short Cut Side of Cut Rectangle - (Measured in Meter) - The Short Cut Side of Cut Rectangle is the remaining length of breadth of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion.
Slant Side of Cut Rectangle - (Measured in Meter) - The Slant Side of Cut Rectangle is the length of the slant forms after removing the cut portion from the rectangle, to create the Cut Rectangle.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Cut Rectangle: 50 Meter --> 50 Meter No Conversion Required
Short Rectangle Side of Cut Rectangle: 12 Meter --> 12 Meter No Conversion Required
Long Cut Side of Cut Rectangle: 10 Meter --> 10 Meter No Conversion Required
Short Cut Side of Cut Rectangle: 9 Meter --> 9 Meter No Conversion Required
Slant Side of Cut Rectangle: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = ((P-(SShort+SLong Cut+SShort Cut+SSlant))*SShort)-(((P-(SShort+SLong Cut+SShort Cut+SSlant))-SLong Cut)*(SShort-SShort Cut))/2 --> ((50-(12+10+9+5))*12)-(((50-(12+10+9+5))-10)*(12-9))/2
Evaluating ... ...
A = 162
STEP 3: Convert Result to Output's Unit
162 Square Meter --> No Conversion Required
FINAL ANSWER
162 Square Meter <-- Area of Cut Rectangle
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Area and Perimeter of Cut Rectangle Calculators

Area of Cut Rectangle given Perimeter and Long Cut Side
​ LaTeX ​ Go Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
Area of Cut Rectangle given Perimeter and Long Rectangle Side
​ LaTeX ​ Go Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle)))*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
Area of Cut Rectangle given Slant Side
​ LaTeX ​ Go Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-(sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
Area of Cut Rectangle
​ LaTeX ​ Go Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2

Area of Cut Rectangle given Perimeter and Long Cut Side Formula

​LaTeX ​Go
Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
A = ((P-(SShort+SLong Cut+SShort Cut+SSlant))*SShort)-(((P-(SShort+SLong Cut+SShort Cut+SSlant))-SLong Cut)*(SShort-SShort Cut))/2

What is Cut Rectangle?

Cut Rectangle is a rectangle with one vertex cut off. This is a convex pentagon with three adjacent right angles. The cut off vertex has the shape of a right triangle.

How to Calculate Area of Cut Rectangle given Perimeter and Long Cut Side?

Area of Cut Rectangle given Perimeter and Long Cut Side calculator uses Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2 to calculate the Area of Cut Rectangle, Area of Cut Rectangle given Perimeter and Long Cut Side formula is defined as the total quantity of plane enclosed by the boundary of the Cut Rectangle. Area of Cut Rectangle is denoted by A symbol.

How to calculate Area of Cut Rectangle given Perimeter and Long Cut Side using this online calculator? To use this online calculator for Area of Cut Rectangle given Perimeter and Long Cut Side, enter Perimeter of Cut Rectangle (P), Short Rectangle Side of Cut Rectangle (SShort), Long Cut Side of Cut Rectangle (SLong Cut), Short Cut Side of Cut Rectangle (SShort Cut) & Slant Side of Cut Rectangle (SSlant) and hit the calculate button. Here is how the Area of Cut Rectangle given Perimeter and Long Cut Side calculation can be explained with given input values -> 162 = ((50-(12+10+9+5))*12)-(((50-(12+10+9+5))-10)*(12-9))/2.

FAQ

What is Area of Cut Rectangle given Perimeter and Long Cut Side?
Area of Cut Rectangle given Perimeter and Long Cut Side formula is defined as the total quantity of plane enclosed by the boundary of the Cut Rectangle and is represented as A = ((P-(SShort+SLong Cut+SShort Cut+SSlant))*SShort)-(((P-(SShort+SLong Cut+SShort Cut+SSlant))-SLong Cut)*(SShort-SShort Cut))/2 or Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2. The Perimeter of Cut Rectangle is the total length of all the boundary lines of the Cut Rectangle, The Short Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms, The Long Cut Side of Cut Rectangle is the remaining length of length of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion, The Short Cut Side of Cut Rectangle is the remaining length of breadth of the rectangle from which the Cut Rectangle shape forms, after removing the cut portion & The Slant Side of Cut Rectangle is the length of the slant forms after removing the cut portion from the rectangle, to create the Cut Rectangle.
How to calculate Area of Cut Rectangle given Perimeter and Long Cut Side?
Area of Cut Rectangle given Perimeter and Long Cut Side formula is defined as the total quantity of plane enclosed by the boundary of the Cut Rectangle is calculated using Area of Cut Rectangle = ((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))*Short Rectangle Side of Cut Rectangle)-(((Perimeter of Cut Rectangle-(Short Rectangle Side of Cut Rectangle+Long Cut Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle))-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2. To calculate Area of Cut Rectangle given Perimeter and Long Cut Side, you need Perimeter of Cut Rectangle (P), Short Rectangle Side of Cut Rectangle (SShort), Long Cut Side of Cut Rectangle (SLong Cut), Short Cut Side of Cut Rectangle (SShort Cut) & Slant Side of Cut Rectangle (SSlant). With our tool, you need to enter the respective value for Perimeter of Cut Rectangle, Short Rectangle Side of Cut Rectangle, Long Cut Side of Cut Rectangle, Short Cut Side of Cut Rectangle & Slant Side of Cut Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Area of Cut Rectangle?
In this formula, Area of Cut Rectangle uses Perimeter of Cut Rectangle, Short Rectangle Side of Cut Rectangle, Long Cut Side of Cut Rectangle, Short Cut Side of Cut Rectangle & Slant Side of Cut Rectangle. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-Long Cut Side of Cut Rectangle)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
  • Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-(sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2)*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
  • Area of Cut Rectangle = (Long Rectangle Side of Cut Rectangle*Short Rectangle Side of Cut Rectangle)-((Long Rectangle Side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long Rectangle Side of Cut Rectangle+Short Rectangle Side of Cut Rectangle+Short Cut Side of Cut Rectangle+Slant Side of Cut Rectangle)))*(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle))/2
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