Area of Cut Rectangle given Slant Side Calculator

✖The Long Rectangle Side of Cut Rectangle is the length of the rectangle from which the Cut Rectangle shape forms.ⓘ Long Rectangle Side of Cut Rectangle [S_Long]			+10% -10%
✖The Short Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms.ⓘ Short Rectangle Side of Cut Rectangle [S_Short]			+10% -10%
✖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.ⓘ Slant Side of Cut Rectangle [S_Slant]			+10% -10%
✖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.ⓘ Short Cut Side of Cut Rectangle [S_{Short Cut}]			+10% -10%

✖The Area of Cut Rectangle is the total quantity of plane enclosed by the boundary of the Cut Rectangle.ⓘ Area of Cut Rectangle given Slant Side [A]

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Area of Cut Rectangle given Slant 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)-(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
A = (S_Long*S_Short)-(sqrt(S_Slant^2-(S_Short-S_{Short Cut})^2)*(S_Short-S_{Short Cut}))/2
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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 = (S_Long*S_Short)-(sqrt(S_Slant^2-(S_Short-S_{Short Cut})^2)*(S_Short-S_{Short Cut}))/2 --> (14*12)-(sqrt(5^2-(12-9)^2)*(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 00.020 seconds)

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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 Slant Side Formula

LaTeX Go

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 Slant Side?

Area of Cut Rectangle given Slant Side calculator uses 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 to calculate the Area of Cut Rectangle, Area of Cut Rectangle given Slant 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 Slant Side using this online calculator? To use this online calculator for Area of Cut Rectangle given Slant Side, enter Long Rectangle Side of Cut Rectangle (S_Long), Short Rectangle Side of Cut Rectangle (S_Short), Slant Side of Cut Rectangle (S_Slant) & Short Cut Side of Cut Rectangle (S_{Short Cut}) and hit the calculate button. Here is how the Area of Cut Rectangle given Slant Side calculation can be explained with given input values -> 162 = (14*12)-(sqrt(5^2-(12-9)^2)*(12-9))/2.

FAQ

What is Area of Cut Rectangle given Slant Side?

Area of Cut Rectangle given Slant Side formula is defined as the total quantity of plane enclosed by the boundary of the Cut Rectangle and is represented as A = (S_Long*S_Short)-(sqrt(S_Slant^2-(S_Short-S_{Short Cut})^2)*(S_Short-S_{Short Cut}))/2 or 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. 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 Slant Side?

Area of Cut Rectangle given Slant 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)-(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. To calculate Area of Cut Rectangle given Slant Side, you need Long Rectangle Side of Cut Rectangle (S_Long), Short Rectangle Side of Cut Rectangle (S_Short), Slant Side of Cut Rectangle (S_Slant) & Short Cut Side of Cut Rectangle (S_{Short 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 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)-((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

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