Area of Cut Rectangle given all other side except long cut side Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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))
A = (SLong*SShort)-((1/2)*(sqrt((SSlant^2)-((SShort-SShort Cut)^2)))*(SShort-SShort Cut))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
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.
Long rectangle side of Cut Rectangle - (Measured in Meter) - The Long rectangle side of Cut Rectangle is the length of the rectangle from which the Cut Rectangle shape forms.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Long rectangle side of Cut Rectangle: 14 Meter --> 14 Meter No Conversion Required
Short rectangle side of Cut Rectangle: 12 Meter --> 12 Meter No Conversion Required
Slant side of Cut Rectangle: 5 Meter --> 5 Meter No Conversion Required
Short cut side of Cut Rectangle: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (SLong*SShort)-((1/2)*(sqrt((SSlant^2)-((SShort-SShort Cut)^2)))*(SShort-SShort Cut)) --> (14*12)-((1/2)*(sqrt((5^2)-((12-9)^2)))*(12-9))
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 00.031 seconds)

Credits

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

Area of Cut Rectangle given perimeter and missing long rectangle side
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) Go
Area of Cut Rectangle given perimeter and missing short rectangle side
Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*(Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Short cut side of Cut Rectangle+Slant side of Cut Rectangle)))-(((Long rectangle side of Cut Rectangle-Long cut side of Cut Rectangle)*((Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Short cut side of Cut Rectangle+Slant side of Cut Rectangle))-Short cut side of Cut Rectangle))/2) Go
Area of Cut Rectangle given perimeter and missing long cut side
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) Go
Area of Cut Rectangle given perimeter and missing short cut side
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-(Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Short rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Slant side of Cut Rectangle))))/2) Go
Area of Cut Rectangle given all other side except long cut side
Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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)) Go
Area of Cut Rectangle
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) Go
Perimeter of Cut Rectangle
Perimeter of Cut Rectangle = Long rectangle side 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 Go

Area of Cut Rectangle given all other side except long cut side Formula

Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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))
A = (SLong*SShort)-((1/2)*(sqrt((SSlant^2)-((SShort-SShort Cut)^2)))*(SShort-SShort Cut))

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 all other side except long cut side?

Area of Cut Rectangle given all other side except long cut side calculator uses Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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)) to calculate the Area of Cut Rectangle, The Area of Cut Rectangle given all other side except 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 all other side except long cut side using this online calculator? To use this online calculator for Area of Cut Rectangle given all other side except long cut side, enter Long rectangle side of Cut Rectangle (SLong), Short rectangle side of Cut Rectangle (SShort), Slant side of Cut Rectangle (SSlant) & Short cut side of Cut Rectangle (SShort Cut) and hit the calculate button. Here is how the Area of Cut Rectangle given all other side except long cut side calculation can be explained with given input values -> 162 = (14*12)-((1/2)*(sqrt((5^2)-((12-9)^2)))*(12-9)).

FAQ

What is Area of Cut Rectangle given all other side except long cut side?
The Area of Cut Rectangle given all other side except 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 = (SLong*SShort)-((1/2)*(sqrt((SSlant^2)-((SShort-SShort Cut)^2)))*(SShort-SShort Cut)) or Area of Cut Rectangle = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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)). The Long rectangle side of Cut Rectangle is the length of the rectangle from which the Cut Rectangle shape forms, The Short rectangle side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms, 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 & 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.
How to calculate Area of Cut Rectangle given all other side except long cut side?
The Area of Cut Rectangle given all other side except 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 = (Long rectangle side of Cut Rectangle*Short rectangle side of Cut Rectangle)-((1/2)*(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)). To calculate Area of Cut Rectangle given all other side except long cut side, you need Long rectangle side of Cut Rectangle (SLong), Short rectangle side of Cut Rectangle (SShort), Slant side of Cut Rectangle (SSlant) & Short cut side of Cut Rectangle (SShort Cut). With our tool, you need to enter the respective value for Long rectangle side of Cut Rectangle, Short rectangle side of Cut Rectangle, Slant side of Cut Rectangle & Short cut 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 Long rectangle side of Cut Rectangle, Short rectangle side of Cut Rectangle, Slant side of Cut Rectangle & Short cut side of Cut Rectangle. We can use 5 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)-(((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 = ((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 = (Long rectangle side of Cut Rectangle*(Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Short cut side of Cut Rectangle+Slant side of Cut Rectangle)))-(((Long rectangle side of Cut Rectangle-Long cut side of Cut Rectangle)*((Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Short cut side of Cut Rectangle+Slant 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-Long cut side of Cut Rectangle)*(Short rectangle side of Cut Rectangle-(Perimeter of Cut Rectangle-(Long rectangle side of Cut Rectangle+Short rectangle side of Cut Rectangle+Long cut side of Cut Rectangle+Slant side of Cut Rectangle))))/2)
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