Long Rectangle Side of Cut Rectangle given all other Sides Calculator

✖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.ⓘ Long Cut Side of Cut Rectangle [S_{Long Cut}]			+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 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 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 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 given all other Sides [S_Long]

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Formula

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Long Rectangle Side of Cut Rectangle given all other Sides

Formula

`"S"_{"Long"} = "S"_{"Long Cut"}+sqrt("S"_{"Slant"}^2-("S"_{"Short"}-"S"_{"Short Cut"})^2)`

Example

`"14m"="10m"+sqrt(("5m")^2-("12m"-"9m")^2)`

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Long Rectangle Side of Cut Rectangle given all other Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Rectangle Side of Cut Rectangle = Long Cut Side of Cut Rectangle+sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2)
S_Long = S_{Long Cut}+sqrt(S_Slant^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

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.
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.
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 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.
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 Cut Side of Cut Rectangle: 10 Meter --> 10 Meter No Conversion Required
Slant Side of Cut Rectangle: 5 Meter --> 5 Meter No Conversion Required
Short Rectangle Side of Cut Rectangle: 12 Meter --> 12 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

S_Long = S_{Long Cut}+sqrt(S_Slant^2-(S_Short-S_{Short Cut})^2) --> 10+sqrt(5^2-(12-9)^2)

Evaluating ... ...

S_Long = 14

STEP 3: Convert Result to Output's Unit

14 Meter --> No Conversion Required

FINAL ANSWER

14 Meter <-- Long Rectangle Side 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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< 2 Long Rectangle Side of Cut Rectangle Calculators

Long Rectangle Side of Cut Rectangle

Go Long 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 Rectangle Side of Cut Rectangle given all other Sides

Go Long Rectangle Side of Cut Rectangle = Long Cut Side of Cut Rectangle+sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2)

Long Rectangle Side of Cut Rectangle given all other Sides Formula

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 Long Rectangle Side of Cut Rectangle given all other Sides?

Long Rectangle Side of Cut Rectangle given all other Sides calculator uses Long Rectangle Side of Cut Rectangle = Long Cut Side of Cut Rectangle+sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2) to calculate the Long Rectangle Side of Cut Rectangle, The Long Rectangle Side of Cut Rectangle given all other Sides formula is defined as the length of the rectangle from which the Cut Rectangle shape forms, and calculated using all other sides of the Cut Rectangle. Long Rectangle Side of Cut Rectangle is denoted by S_Long symbol.

How to calculate Long Rectangle Side of Cut Rectangle given all other Sides using this online calculator? To use this online calculator for Long Rectangle Side of Cut Rectangle given all other Sides, enter Long Cut Side of Cut Rectangle (S_{Long Cut}), Slant Side of Cut Rectangle (S_Slant), Short Rectangle Side of Cut Rectangle (S_Short) & Short Cut Side of Cut Rectangle (S_{Short Cut}) and hit the calculate button. Here is how the Long Rectangle Side of Cut Rectangle given all other Sides calculation can be explained with given input values -> 14 = 10+sqrt(5^2-(12-9)^2).

FAQ

What is Long Rectangle Side of Cut Rectangle given all other Sides?

The Long Rectangle Side of Cut Rectangle given all other Sides formula is defined as the length of the rectangle from which the Cut Rectangle shape forms, and calculated using all other sides of the Cut Rectangle and is represented as S_Long = S_{Long Cut}+sqrt(S_Slant^2-(S_Short-S_{Short Cut})^2) or Long Rectangle Side of Cut Rectangle = Long Cut Side of Cut Rectangle+sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2). 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 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 Rectangle Side of Cut Rectangle is the breadth of the rectangle from which the Cut Rectangle shape forms & 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 Long Rectangle Side of Cut Rectangle given all other Sides?

The Long Rectangle Side of Cut Rectangle given all other Sides formula is defined as the length of the rectangle from which the Cut Rectangle shape forms, and calculated using all other sides of the Cut Rectangle is calculated using Long Rectangle Side of Cut Rectangle = Long Cut Side of Cut Rectangle+sqrt(Slant Side of Cut Rectangle^2-(Short Rectangle Side of Cut Rectangle-Short Cut Side of Cut Rectangle)^2). To calculate Long Rectangle Side of Cut Rectangle given all other Sides, you need Long Cut Side of Cut Rectangle (S_{Long Cut}), Slant Side of Cut Rectangle (S_Slant), Short Rectangle Side of Cut Rectangle (S_Short) & Short Cut Side of Cut Rectangle (S_{Short Cut}). With our tool, you need to enter the respective value for Long Cut Side of Cut Rectangle, Slant Side of Cut Rectangle, Short Rectangle 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 Long Rectangle Side of Cut Rectangle?

In this formula, Long Rectangle Side of Cut Rectangle uses Long Cut Side of Cut Rectangle, Slant Side of Cut Rectangle, Short Rectangle Side of Cut Rectangle & Short Cut Side of Cut Rectangle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Long 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)

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