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Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram. Check FAQs
A=eLong⋅eShort⋅sin(∠Acute)
A - Area of Parallelogram?eLong - Long Edge of Parallelogram?eShort - Short Edge of Parallelogram?∠Acute - Acute Angle of Parallelogram?

Area of Parallelogram Example

With values
With units
Only example

Here is how the Area of Parallelogram equation looks like with Values.

Here is how the Area of Parallelogram equation looks like with Units.

Here is how the Area of Parallelogram equation looks like.

59.397Edit=12Edit⋅7Edit⋅sin(45Edit)
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HomeIcon Home » Category Math » Category Geometry » Category 2D Geometry » fx Area of Parallelogram

Area of Parallelogram Solution

Follow our step by step solution on how to calculate Area of Parallelogram?

FIRST Step Consider the formula
A=eLong⋅eShort⋅sin(∠Acute)
Next Step Substitute values of Variables
∴ A=12m⋅7m⋅sin(45°)
Next Step Convert Units
∴ A=12m⋅7m⋅sin(0.7854rad)
Next Step Prepare to Evaluate
∴ A=12⋅7⋅sin(0.7854)
Next Step Evaluate
∴A=59.3969696196612m²
LAST Step Rounding Answer
∴A=59.397m²

Area of Parallelogram Formula Elements

Variables
Functions
Area of Parallelogram
Area of Parallelogram is the total quantity of plane enclosed by the boundary of the Parallelogram.
Symbol: A
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Area of ParallelogramOpen Variable
Long Edge of Parallelogram
Long Edge of Parallelogram is the length of the longest pair of parallel sides in a Parallelogram.
Symbol: eLong
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Long Edge of ParallelogramOpen Variable
Short Edge of Parallelogram
Short Edge of Parallelogram is the length of the shortest pair of parallel edges in a Parallelogram.
Symbol: eShort
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Short Edge of ParallelogramOpen Variable
Acute Angle of Parallelogram
Acute Angle of Parallelogram is the measure of pair of opposite angles which are less than 90 degree in a Parallelogram.
Symbol: ∠Acute
Measurement: AngleUnit: °
Note: Value should be between 0 to 90.
Formulas to find Acute Angle of ParallelogramOpen Variable
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)

Other Formulas to find Area of Parallelogram

​Go Area of Parallelogram given Long Edge and Height to Long Edge
A=eLong⋅hLong
​Go Area of Parallelogram given Sides and Obtuse Angle between Sides
A=eLong⋅eShort⋅sin(∠Obtuse)
​Go Area of Parallelogram given Diagonals and Acute Angle between Diagonals
A=12⋅dLong⋅dShort⋅sin(∠d(Acute))
​Go Area of Parallelogram given Short Edge and Height to Short Edge
A=eShort⋅hShort

How to Evaluate Area of Parallelogram?

Area of Parallelogram evaluator uses Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram) to evaluate the Area of Parallelogram, Area of Parallelogram formula is defined as the total quantity of plane enclosed by the boundary of the Parallelogram. Area of Parallelogram is denoted by A symbol.

How to evaluate Area of Parallelogram using this online evaluator? To use this online evaluator for Area of Parallelogram, enter Long Edge of Parallelogram (eLong), Short Edge of Parallelogram (eShort) & Acute Angle of Parallelogram (∠Acute) and hit the calculate button.

FAQs on Area of Parallelogram

What is the formula to find Area of Parallelogram?
The formula of Area of Parallelogram is expressed as Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram). Here is an example- 59.39697 = 12*7*sin(0.785398163397301).
How to calculate Area of Parallelogram?
With Long Edge of Parallelogram (eLong), Short Edge of Parallelogram (eShort) & Acute Angle of Parallelogram (∠Acute) we can find Area of Parallelogram using the formula - Area of Parallelogram = Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Acute Angle of Parallelogram). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Area of Parallelogram?
Here are the different ways to Calculate Area of Parallelogram-
  • Area of Parallelogram=Long Edge of Parallelogram*Height to Long Edge of ParallelogramOpenImg
  • Area of Parallelogram=Long Edge of Parallelogram*Short Edge of Parallelogram*sin(Obtuse Angle of Parallelogram)OpenImg
  • Area of Parallelogram=1/2*Long Diagonal of Parallelogram*Short Diagonal of Parallelogram*sin(Acute Angle between Diagonals of Parallelogram)OpenImg
Can the Area of Parallelogram be negative?
No, the Area of Parallelogram, measured in Area cannot be negative.
Which unit is used to measure Area of Parallelogram?
Area of Parallelogram is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Parallelogram can be measured.
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