Area of a Parallelogram Calculator

Created By : Abhinandan Kumar

Reviewed By : Rajashekhar Valipishetty

Last Updated : May 01, 2023

Area of a Parallelogram Calculator is a free online tool that assists students to calculate the area of a parallelogram easily. You can select any one of the three processes to find the parallelogram area. They are using base and height, using sides and angle between them, using diagonals and angle between them.

Choose

Provide base, height or parallel sides length, angle or diagonals lengths and angle in the specified input fields and finally press on the calculate button to get the output i.e area in a short span of time. From the below sections, you will get the complete details like formula to find the parallelogram area, what is meant by area of a parallelogram and how to find it easily.

Area of A Parallelogram Calculator

Area of a Parallelogram Calculator (Base and Height)

Area of a Parallelogram Calculator (Base and Height)

Base (b)
Height (h)



Here are some samples of Area of a Parallelogram calculations(Base and Height)

  • Area of a Parallelogram base 66 cm height 75 cm
  • Area of a Parallelogram base 18 cm height 98 cm
  • Area of a Parallelogram base 97 ft height 62 ft
  • Area of a Parallelogram base 44 ft height 42 ft
  • Area of a Parallelogram base 41 in height 30 in
  • Area of a Parallelogram base 89 in height 94 in
  • Area of a Parallelogram base 80 m height 43 m
  • Area of a Parallelogram base 46 m height 29 m
  • Area of a Parallelogram base 36 yd height 85 yd
  • Area of a Parallelogram base 83 yd height 48 yd
  • Area of a Parallelogram base 8 ft height 5 m
  • Area of a Parallelogram base 3 m height 7 ft
  • Area of a Parallelogram base 6 m height 2 ft
  • Area of a Parallelogram base 5 yd height 4 cm
  • Area of a Parallelogram base 9 m height 9 in
  • Area of a Parallelogram base 4 m height 8 cm
  • Area of a Parallelogram base 2 cm height 3 in
  • Area of a Parallelogram base 7 ft height 6 m
  • Area of a Parallelogram base 8 ft height 66 in
  • Area of a Parallelogram base 3 in height 18 cm
  • Area of a Parallelogram base 6 cm height 97 m
  • Area of a Parallelogram base 7 m height 44 yd
  • Area of a Parallelogram base 2 ft height 41 cm
  • Area of a Parallelogram base 4 cm height 89 yd
  • Area of a Parallelogram base 5 in height 80 yd
  • Area of a Parallelogram base 9 yd height 46 cm
  • Area of a Parallelogram base 6 ft height 36 m
  • Area of a Parallelogram base 5 in height 83 m
  • Area of a Parallelogram base 9 ft height 75 in
  • Area of a Parallelogram base 4 ft height 98 yd
  • Area of a Parallelogram base 95 ft height 25 in
  • Area of a Parallelogram base 77 m height 85 ft
  • Area of a Parallelogram base 56 in height 81 m
  • Area of a Parallelogram base 16 cm height 33 m
  • Area of a Parallelogram base 90 m height 59 in
  • Area of a Parallelogram base 55 m height 53 ft
  • Area of a Parallelogram base 56 in height 49 yd
  • Area of a Parallelogram base 21 ft height 73 m
  • Area of a Parallelogram base 74 cm height 21 in
  • Area of a Parallelogram base 36 ft height 70 m

    • Area of a Parallelogram Calculator (Sides and Angle)

    Area of a Parallelogram Calculator (Sides and Angle)

    Side (a)
    Side (b)
    Angle α



    Here are some samples of Area of a Parallelogram calculations(Sides and Angle)

  • Area of a Parallelogram side-a 66 cm side-b 75 cm with angle 47 degrees
  • Area of a Parallelogram side-a 18 cm side-b 98 cm with angle 0.3 radians
  • Area of a Parallelogram side-a 97 ft side-b 62 ft with angle 169 degrees
  • Area of a Parallelogram side-a 44 ft side-b 42 ft with angle 40 degrees
  • Area of a Parallelogram side-a 41 in side-b 30 in with angle 0.6 radians
  • Area of a Parallelogram side-a 89 in side-b 94 in with angle 170 degrees
  • Area of a Parallelogram side-a 80 m side-b 43 m with angle 1.6 radians
  • Area of a Parallelogram side-a 46 m side-b 29 m with angle 22 degrees
  • Area of a Parallelogram side-a 36 yd side-b 85 yd with angle 2.3 radians
  • Area of a Parallelogram side-a 83 yd side-b 48 yd with angle 2.1 radians
  • Area of a Parallelogram side-a 8 ft side-b 5 m with angle 47 degrees
  • Area of a Parallelogram side-a 3 m side-b 7 ft with angle 0.3 radians
  • Area of a Parallelogram side-a 6 m side-b 2 ft with angle 169 degrees
  • Area of a Parallelogram side-a 5 yd side-b 4 cm with angle 40 degrees
  • Area of a Parallelogram side-a 9 m side-b 9 in with angle 0.6 radians
  • Area of a Parallelogram side-a 4 m side-b 8 cm with angle 170 degrees
  • Area of a Parallelogram side-a 2 cm side-b 3 in with angle 1.6 radians
  • Area of a Parallelogram side-a 7 ft side-b 6 m with angle 22 degrees
  • Area of a Parallelogram side-a 8 ft side-b 66 in with angle 2.3 radians
  • Area of a Parallelogram side-a 3 in side-b 18 cm with angle 2.1 radians
  • Area of a Parallelogram side-a 6 cm side-b 97 m with angle 2 radians
  • Area of a Parallelogram side-a 7 m side-b 44 yd with angle 95 degrees
  • Area of a Parallelogram side-a 2 ft side-b 41 cm with angle 1.7 radians
  • Area of a Parallelogram side-a 4 cm side-b 89 yd with angle 18 degrees
  • Area of a Parallelogram side-a 5 in side-b 80 yd with angle 157 degrees
  • Area of a Parallelogram side-a 9 yd side-b 46 cm with angle 0.1 radians
  • Area of a Parallelogram side-a 6 ft side-b 36 m with angle 38 degrees
  • Area of a Parallelogram side-a 5 in side-b 83 m with angle 3.1 radians
  • Area of a Parallelogram side-a 9 ft side-b 75 in with angle 143 degrees
  • Area of a Parallelogram side-a 4 ft side-b 98 yd with angle 0.9 radians
  • Area of a Parallelogram side-a 88 ft side-b 87 in with angle 40 degrees
  • Area of a Parallelogram side-a 56 m side-b 77 ft with angle 2.8 radians
  • Area of a Parallelogram side-a 10 in side-b 27 m with angle 1.5 radians
  • Area of a Parallelogram side-a 91 cm side-b 60 m with angle 88 degrees
  • Area of a Parallelogram side-a 23 m side-b 94 in with angle 1 degrees
  • Area of a Parallelogram side-a 83 m side-b 73 ft with angle 0.5 radians
  • Area of a Parallelogram side-a 75 in side-b 22 yd with angle 130 degrees
  • Area of a Parallelogram side-a 63 ft side-b 47 m with angle 12 degrees
  • Area of a Parallelogram side-a 23 cm side-b 17 in with angle 0.8 radians
  • Area of a Parallelogram side-a 60 ft side-b 25 m with angle 2.6 radians

    • Area of a Parallelogram Calculator (Diagonals and Angle)

    Area of a Parallelogram Calculator (Diagonals and Angle)

    Diagonal (e)
    Diagonal (f)
    Angle α



    Here are some samples of Area of a Parallelogram calculations(Diagonals and Angle)

  • Area of a Parallelogram diagonal-e 66 cm diagonal-f 75 cm with angle 47 degrees
  • Area of a Parallelogram diagonal-e 18 cm diagonal-f 98 cm with angle 0.3 radians
  • Area of a Parallelogram diagonal-e 97 ft diagonal-f 62 ft with angle 169 degrees
  • Area of a Parallelogram diagonal-e 44 ft diagonal-f 42 ft with angle 40 degrees
  • Area of a Parallelogram diagonal-e 41 in diagonal-f 30 in with angle 0.6 radians
  • Area of a Parallelogram diagonal-e 89 in diagonal-f 94 in with angle 170 degrees
  • Area of a Parallelogram diagonal-e 80 m diagonal-f 43 m with angle 1.6 radians
  • Area of a Parallelogram diagonal-e 46 m diagonal-f 29 m with angle 22 degrees
  • Area of a Parallelogram diagonal-e 36 yd diagonal-f 85 yd with angle 2.3 radians
  • Area of a Parallelogram diagonal-e 83 yd diagonal-f 48 yd with angle 2.1 radians
  • Area of a Parallelogram diagonal-e 8 ft diagonal-f 5 m with angle 47 degrees
  • Area of a Parallelogram diagonal-e 3 m diagonal-f 7 ft with angle 0.3 radians
  • Area of a Parallelogram diagonal-e 6 m diagonal-f 2 ft with angle 169 degrees
  • Area of a Parallelogram diagonal-e 5 yd diagonal-f 4 cm with angle 40 degrees
  • Area of a Parallelogram diagonal-e 9 m diagonal-f 9 in with angle 0.6 radians
  • Area of a Parallelogram diagonal-e 4 m diagonal-f 8 cm with angle 170 degrees
  • Area of a Parallelogram diagonal-e 2 cm diagonal-f 3 in with angle 1.6 radians
  • Area of a Parallelogram diagonal-e 7 ft diagonal-f 6 m with angle 22 degrees
  • Area of a Parallelogram diagonal-e 8 ft diagonal-f 66 in with angle 2.3 radians
  • Area of a Parallelogram diagonal-e 3 in diagonal-f 18 cm with angle 2.1 radians
  • Area of a Parallelogram diagonal-e 6 cm diagonal-f 97 m with angle 2 radians
  • Area of a Parallelogram diagonal-e 7 m diagonal-f 44 yd with angle 95 degrees
  • Area of a Parallelogram diagonal-e 2 ft diagonal-f 41 cm with angle 1.7 radians
  • Area of a Parallelogram diagonal-e 4 cm diagonal-f 89 yd with angle 18 degrees
  • Area of a Parallelogram diagonal-e 5 in diagonal-f 80 yd with angle 157 degrees
  • Area of a Parallelogram diagonal-e 9 yd diagonal-f 46 cm with angle 0.1 radians
  • Area of a Parallelogram diagonal-e 6 ft diagonal-f 36 m with angle 38 degrees
  • Area of a Parallelogram diagonal-e 5 in diagonal-f 83 m with angle 3.1 radians
  • Area of a Parallelogram diagonal-e 9 ft diagonal-f 75 in with angle 143 degrees
  • Area of a Parallelogram diagonal-e 4 ft diagonal-f 98 yd with angle 0.9 radians
  • Area of a Parallelogram diagonal-e 88 ft diagonal-f 87 in with angle 40 degrees
  • Area of a Parallelogram diagonal-e 56 m diagonal-f 77 ft with angle 2.8 radians
  • Area of a Parallelogram diagonal-e 10 in diagonal-f 27 m with angle 1.5 radians
  • Area of a Parallelogram diagonal-e 91 cm diagonal-f 60 m with angle 88 degrees
  • Area of a Parallelogram diagonal-e 23 m diagonal-f 94 in with angle 1 degrees
  • Area of a Parallelogram diagonal-e 83 m diagonal-f 73 ft with angle 0.5 radians
  • Area of a Parallelogram diagonal-e 75 in diagonal-f 22 yd with angle 130 degrees
  • Area of a Parallelogram diagonal-e 63 ft diagonal-f 47 m with angle 12 degrees
  • Area of a Parallelogram diagonal-e 23 cm diagonal-f 17 in with angle 0.8 radians
  • Area of a Parallelogram diagonal-e 60 ft diagonal-f 25 m with angle 2.6 radians

    • Formulas to Find Area of a Parallelogram

    Three different formulas to check the parallelogram area are listed here

    1. When you know base and height of parallelogram

    Parallelogram area = b * h

    Where, b is the base of a parallelogram

    h is the height of a parallelogram

    2. When you have two sides and angle of a parallelogram

    Area of a parallelogram = a * b * sin(α)

    Where, a, b are the lengths of sides of a parallelogram

    α is the angle between two sides.

    3. If you know parallelogram two diagonals, angle

    Area = e * f * sin(α)

    Where, e, f are the lengths of two diagonals of parallelogram

    α is the angle between diagonals of parallelogram

    Area of a Parallelogram Calculator

    Step by Step Process to Find Parallelogram Area

    The following are the simple and easy steps to calculate the area of a parallelogram are given below.

    1. Using base and height

    • Check the side length and height of the parallelogram from the question.
    • Perform the multiplication of those two parameters to get the answer.

    2. Sides Angle Between Them

    • Note down all the parameters about parallelogram in the given question.
    • Multiply the length of sides of a parallelogram.
    • Apply the sine function to the angle between the sides.
    • Multiply the values obtained in the above steps to find the parallelogram area.

    3. Diagonals Angle Between Them

    • Take the length of two diagonals and angle between the diagonals.
    • Perform the multiplication of diagonals length.
    • Find the sin of angle between the diagonals.
    • Multiply those values to get the accurate answer.

    Examples on Area of a Parallelogram

    Example 1: The angle between any two sides of a parallelogram is 45 degrees. If the length of the two parallel sides is 3 cm and 4 cm respectively, then find the area?

    Solution:

    Given that,

    Angle α = 45 degrees

    a = 3 cm, b = 4 cm

    Area of a parallelogram = a * b * sin(α)

    By putting the given values in the formula.

    area = 3 * 4 * sin(45°)

    = 12 * (1/√2) = 8.485

    ∴ Area of a parallelogram is 8.485 cm².

    Example 2: A parallelogram has sides 12 cm and 9 cm. If the distance between its shorter sides is 8 cm, find the distance between its longer side.

    Solution:

    Given that,

    a = 12 cm, base = 9 cm

    Height h = 8 cm

    Area = b * h

    = 8 * 9

    = 72

    ∴ Area of a parallelogram is 72 cm².

    Example 3: Find the area of a parallelogram with a diagonals 7 inches, 10 inches and angle is 60 degrees.

    Solution:

    Given that,

    Angle α = 60 degrees

    e = 7 inches, f = 10 inches

    parallelogram area = e * f * sin(α)

    = 7 * 10 * sin(60°)

    = 70 * (√3/2)

    = 60.621

    ∴ Area of a parallelogram is 60.621 sq units.

    View the large collection of free online geometry calculators with in-depth information, formulas at one go on our website i.e., Areavolumecalculator.com & become master in geometry concepts.

    Frequently Asked Questions on Parallelogram Area

    1. What is Meant by Area of a Parallelogram?

    Parallelogram is a type of quadrilateral having 2 pairs of parallel sides of equal length and two diagonals. The region occupied by the parallelogram with the given dimensions is the area of a parallelogram.

    2. How do you find the parallelogram area using calculator?

    Students have to enter input in the fields, also select the units from the beside field and tap on the calculate button which in blue color to obtain the parallelogram area in fraction of seconds.

    3. What is the formula to calculate area of a parallelogram with diagonals?

    The formula to find the parallelogram using diagonals length is here.

    Area = diagonal1 * diagonal2 * sin(angle).

    4. How do you find the area of a parallelogram with only sides?

    Parallelogram area = a * b * sin(θ). Where a, b are the length of sides of parallelogram and θ is the angle between sides.