Find the value of each variable in the parallelogram calculator

Enter Base(a)
Enter Base (b):
Enter Height (h) :
Enter Angle(θ): radian

Perimeter :
Area of Parallelogram:
Short Diagonal
Long Diagonal

Table of Contents Show

How to Use the Parallelogram Calculator?
What is Meant by Parallelogram?
What is the formula for calculating a parallelogram?
What is the value of a parallelogram?

Parallelogram Calculator is a free online tool that displays the area, perimeter, and diagonal measures of a parallelogram. BYJU’S online parallelogram calculator tool makes the calculation faster and it displays the area and perimeter of a parallelogram in a fraction of seconds.

How to Use the Parallelogram Calculator?

The procedure to use the parallelogram calculator is as follows:

Step 1: Enter the base values, height and angle measurements in the input field

Step 2: Now click the button “Calculate” to get the parallelogram area and perimeter

Step 3: Finally, the area and perimeter of a parallelogram will be displayed in the output field

What is Meant by Parallelogram?

In mathematics, a parallelogram is a special type of quadrilateral. A parallelogram has four sides with equal and parallel opposite sides. It means that the opposite side of the parallelogram are parallel to each other and are of equal measurements. The parallelogram diagonal bisects each other and the adjacent angles add up to 180 degrees. The area and the perimeter of a parallelogram are given by the formula,

Area of Parallelogram, A = Base × Height Square units

Perimeter of parallelogram, P = 2(a+b) units

Where “a” and “b” are the sides of a parallelogram

Parallelogram area = (height × AB) or (height × DC)

Lines AC and DB are called diagonals.
Diagonals bisect each other.
Diagonals are not equal.
Diagonals do not bisect the vertex angles.

Line 'h' is perpendicular to lines AB & DC and is called the height or altitude.

• BOTH pairs of opposite sides are equal.
AB = DC and AD = BC

• BOTH pairs of opposite angles are equal.
∠ A = ∠ C and ∠ B = ∠ D

• Adjacent angles are supplementary.
∠ A + ∠ D = ∠ D + ∠ C = ∠ C + ∠ B = ∠ B + ∠ A = 180°

• Each diagonal forms 2 congruent triangles.
Δ ADC = Δ ABC and Δ DAB = Δ DCB

The default setting is for 5 significant figures but you can change that by inputting another number in the box above.

Answers are displayed in scientific notation and for easier readability, numbers between .001 and 1,000 will be displayed in standard format (with the same number of significant figures.)
The answers should display properly but there are a few browsers that will show no output whatsoever. If so, enter a zero in the box above. This eliminates all formatting but it is better than seeing no output at all.

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A parallelogram has four sides where the opposite sides are parallel. A rectangle can be thought of as a parallelogram where all angles are right angles (90°). The parallelogram is a special case of the trapezium.

The way the tool works is by reading the attributes that has been entered and using them to calculate the unknown attributes of the parallelogram. If there is not enough information to calculate a certain attribute it will be displayed as a question mark. For example, if only the height and side a is known it is possible to calculate the area but nothing else. If some of the values contradict each other so that it is impossible to construct a valid parallelogram the tool will instead display an error message.

You might wonder why the letters used for the sides and angles skip some letters in the alphabet. The reason for this is to make it more consistent with the trapezium tool in the hope that it will be less confusing in case you use both tools.

geometry

parallelogram

What I want to Find

Base b Given Perimeter Base b Given Area Side a Angle α Angle β

Please pick an option first

What is Given

Perimeter

What is Given

Area

Height

What is Given

Perimeter

What is Given

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parallelogram-angles-sides-calculator

What is the formula for calculating a parallelogram?

The area of a parallelogram can be calculated by finding the product of its base with the altitude. The base and altitude of a parallelogram are always perpendicular to each other. The formula to calculate the area of a parallelogram is given as Area of parallelogram = base × height square units.

What is the value of a parallelogram?

A parallelogram is a flat 2d shape which has four angles. The opposite interior angles are equal. The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees. Hence, the sum of the interior angles of a parallelogram is 360 degrees.