Perimeter of Parallelogram given Diagonals and Long Edge Calculator

✖Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.ⓘ Long Edge of Parallelogram [e_Long]			+10% -10%
✖Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.ⓘ Long Diagonal of Parallelogram [d_Long]			+10% -10%
✖Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.ⓘ Short Diagonal of Parallelogram [d_Short]			+10% -10%

✖Perimeter of Parallelogram is the total length of all the boundary lines of a Parallelogram.ⓘ Perimeter of Parallelogram given Diagonals and Long Edge [P]

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Perimeter of Parallelogram given Diagonals and Long Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Parallelogram = 2*(Long Edge of Parallelogram+sqrt(((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2)/2)-Long Edge of Parallelogram^2))
P = 2*(e_Long+sqrt(((d_Long^2+d_Short^2)/2)-e_Long^2))
This formula uses 1 Functions, 4 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

Perimeter of Parallelogram - (Measured in Meter) - Perimeter of Parallelogram is the total length of all the boundary lines of a Parallelogram.
Long Edge of Parallelogram - (Measured in Meter) - Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Long Diagonal of Parallelogram - (Measured in Meter) - Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram.
Short Diagonal of Parallelogram - (Measured in Meter) - Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Parallelogram: 12 Meter --> 12 Meter No Conversion Required
Long Diagonal of Parallelogram: 18 Meter --> 18 Meter No Conversion Required
Short Diagonal of Parallelogram: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*(e_Long+sqrt(((d_Long^2+d_Short^2)/2)-e_Long^2)) --> 2*(12+sqrt(((18^2+9^2)/2)-12^2))

Evaluating ... ...

P = 39.2970585407784

STEP 3: Convert Result to Output's Unit

39.2970585407784 Meter --> No Conversion Required

FINAL ANSWER

39.2970585407784 ≈ 39.29706 Meter <-- Perimeter of Parallelogram

(Calculation completed in 00.004 seconds)

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< Perimeter of Parallelogram Calculators

Perimeter of Parallelogram given Diagonals and Long Edge

LaTeX Go Perimeter of Parallelogram = 2*(Long Edge of Parallelogram+sqrt(((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2)/2)-Long Edge of Parallelogram^2))

Perimeter of Parallelogram

LaTeX Go Perimeter of Parallelogram = (2*Long Edge of Parallelogram)+(2*Short Edge of Parallelogram)

Perimeter of Parallelogram given Diagonals and Long Edge Formula

LaTeX Go

What is a Parallelogram?

A Parallelogram is a special type of quadrilateral that has two pairs of opposite and parallel sides. Rectangles are a special type of Parallelogram. The angles of Parallelogram are also pairwise equal and opposite - one pair of equal and opposite acute angle and one pair of equal and opposite obtuse angle angle.

How to Calculate Perimeter of Parallelogram given Diagonals and Long Edge?

Perimeter of Parallelogram given Diagonals and Long Edge calculator uses Perimeter of Parallelogram = 2*(Long Edge of Parallelogram+sqrt(((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2)/2)-Long Edge of Parallelogram^2)) to calculate the Perimeter of Parallelogram, Perimeter of Parallelogram given Diagonals and Long Edge formula is defined as the total length of all the boundary lines of a Parallelogram, and calculated using long edge and both diagonals of the Parallelogram. Perimeter of Parallelogram is denoted by P symbol.

How to calculate Perimeter of Parallelogram given Diagonals and Long Edge using this online calculator? To use this online calculator for Perimeter of Parallelogram given Diagonals and Long Edge, enter Long Edge of Parallelogram (e_Long), Long Diagonal of Parallelogram (d_Long) & Short Diagonal of Parallelogram (d_Short) and hit the calculate button. Here is how the Perimeter of Parallelogram given Diagonals and Long Edge calculation can be explained with given input values -> 39.29706 = 2*(12+sqrt(((18^2+9^2)/2)-12^2)).

FAQ

What is Perimeter of Parallelogram given Diagonals and Long Edge?

Perimeter of Parallelogram given Diagonals and Long Edge formula is defined as the total length of all the boundary lines of a Parallelogram, and calculated using long edge and both diagonals of the Parallelogram and is represented as P = 2*(e_Long+sqrt(((d_Long^2+d_Short^2)/2)-e_Long^2)) or Perimeter of Parallelogram = 2*(Long Edge of Parallelogram+sqrt(((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2)/2)-Long Edge of Parallelogram^2)). Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram, Long Diagonal of Parallelogram is the length of the line joining the pair of acute angle corners of a Parallelogram & Short Diagonal of Parallelogram is the length of the line joining the pair of obtuse angle corners of a Parallelogram.

How to calculate Perimeter of Parallelogram given Diagonals and Long Edge?

Perimeter of Parallelogram given Diagonals and Long Edge formula is defined as the total length of all the boundary lines of a Parallelogram, and calculated using long edge and both diagonals of the Parallelogram is calculated using Perimeter of Parallelogram = 2*(Long Edge of Parallelogram+sqrt(((Long Diagonal of Parallelogram^2+Short Diagonal of Parallelogram^2)/2)-Long Edge of Parallelogram^2)). To calculate Perimeter of Parallelogram given Diagonals and Long Edge, you need Long Edge of Parallelogram (e_Long), Long Diagonal of Parallelogram (d_Long) & Short Diagonal of Parallelogram (d_Short). With our tool, you need to enter the respective value for Long Edge of Parallelogram, Long Diagonal of Parallelogram & Short Diagonal of Parallelogram 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 Perimeter of Parallelogram?

In this formula, Perimeter of Parallelogram uses Long Edge of Parallelogram, Long Diagonal of Parallelogram & Short Diagonal of Parallelogram. We can use 1 other way(s) to calculate the same, which is/are as follows -

Perimeter of Parallelogram = (2*Long Edge of Parallelogram)+(2*Short Edge of Parallelogram)

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