Find the area of a parallelogram calculator

Question

Yes, a square is a parallelogram because it fulfills the conditions of a parallelogram, that is, a square has opposite sides which are equal in length and are also parallel to each other, and its diagonals bisect each other

Solution: `"Here " a=3, b=4, c=5" (Given)"`

`"We know that,"`

Table of Contents Show

1 - Use Parallelogram Calculator Given sides a, b and angle A
2 - Use Parallelogram Calculator Given sides a, b and height h
3 - Use Parallelogram Calculator Given area Ap, side a and height h
4 - Use Parallelogram Calculator Given diagonals AC and BD and side a
More References and Links
Area of a Parallelogram calculation
Example: find the area of a parallelogram
How do you find a parallelograms area?

`"Perimeter" = a + b + c`

` = 3 + 4 + 5`

` = 12`

` `

`"Semi-Perimeter" = s = (a + b + c)/2`

` = 12/2`

` = 6`

`"Here " a=3, b=4, c=5" and semi-Perimeter" = 6`

`"We know that,"`

`"Area" = sqrt(s (s - a) (s - b) (s - c))`

` = sqrt(6 (6 - 3) (6 - 4) (6 - 5))`

` = 6`

Easy to use online calculators to calculate the area Ap, sides, diagonals, height and angles of a parallelogram. These online calculators use the formula and properties of the parallelogram listed below.

Area Ar of a parallelogram may be calculated using different formulas.
Ar = b � h = a � b sin(A) = a � b sin(B)
height: h = a sin(B)
Diagonals BD and AC (using law of cosine)
AC2 = a2 + b2 - 2 a b cos(B)
BD2 = a2 + b2 - 2 a b cos(A) = a2 + b2 + 2 a b cos(B)
Internal angles
size of angle A = size of angle C , size of angle B = size of angle D
size of angle A + size of angle B = 180 � (supplementary angles)

1 - Use Parallelogram Calculator Given sides a, b and angle A

Enter the sides a, b and angle A as positive real numbers and press "Calculate". The outputs are the area, the height, angle B and diagonals of the parallelogram.Side a = , Side b = , Angle A =
Decimal Places =Area Ap =Height h =Angle B =Diagonal AC =Diagonal BD =

2 - Use Parallelogram Calculator Given sides a, b and height h

Enter the sides a, b and height h as positive real numbers and press "Calculate". The outputs are the area, angleA, angle B and diagonals of the parallelogram.Side a = , Side b = , Height h =
Decimal Places =Area Ap =Angle A =Angle B =Diagonal AC =Diagonal BD =

3 - Use Parallelogram Calculator Given area Ap, side a and height h

Enter the area Ap, side a, and height h as positive real numbers and press "Calculate". The outputs are side b, angleA, angle B and diagonals of the parallelogram.Area Ap = , Side a = , Height h =
Decimal Places =Side b =Angle A =Angle B =Diagonal AC =Diagonal BD =

4 - Use Parallelogram Calculator Given diagonals AC and BD and side a

Enter the the diagonals and side as positive real numbers and press "Calculate". The outputs are side b, angleA, angle B, area Ap and height h of the parallelogram.Diagonal AC = , Diagonal BD = , Side a =
Decimal Places =Side b =Area =Angle A =Angle B =Height h =

More References and Links

parallelogram
Parallelogram Problems
Online Geometry Calculators and Solvers.

Try to solve exercises with vectors 3D.Exercises. Component form of a vector with initial point and terminal point in spaceExercises. Addition and subtraction of two vectors in spaceExercises. Dot product of two vectors in spaceExercises. Length of a vector, magnitude of a vector in spaceExercises. Orthogonal vectors in spaceExercises. Collinear vectors in spaceExercises. Cross product of two vectorsShow all online exercises

The formula for the area of a parallelogram is base x height. Base and height as in the figure below:

You need two measurements to calculate the area using our area of parallelogram calculator. The formula is actually the same as that for a rectangle, since the area of a parallelogram is basically the area of a rectangle that has as its sides the parallelogram's base and height. This can be easily understood visually - if you use the height to cut a triangle from the shape, then spin it 180° and move it to the other side, it will perfectly match, and the shape will be that of a rectangle.

As with other similar calculations, it is important to multiply in identical units. The result is always the square unit: for example, square feet, square inches, square yards or square miles. In the metric systems you can get square centimeters, square meters, square kilometers, and others.

Area of a Parallelogram calculation

You need to take two measurements - the base is easily measured, while for the height you would need to build a right angle at one of the parallelogram's angles. It doesn't matter which one, as long as one of the angle's arms is the base.

Then you can apply the simple multiplication formula above, making sure both lengths are of the same unit.

Example: find the area of a parallelogram

To find the area of a parallelogram-shaped surface requires information about its base and height. It does not matter which side you take as base, as long as the height you use is perpendicular to it. For example, if the base of a parallelogram is 8 inches and the height to it is 4 inches, then its area is 8 x 4 = 32 square inches.