How to calculate the area of the Parallelogram

Hello steemian friend, how are you today? Hopefully always in good condition.
In my post this time, I will discuss about simple math in the hope that may be useful for you all.

1. Know the ranks of the parallelogram?

According to wikipedia, a two-dimensional flat build is formed by two pairs of ribs, each of which is equal in length and parallel to the other, and has two pairs of angles, each of which is as large as the angle in front of it.

• Characteristics of parallelogram
  The angle properties in the parallelogram will be discussed here

1). The sum of all angles is 360 degrees
2). The opposite angle is the same
3). The number of unilateral angles is 180 degrees

• Have two pairs of equal lengths. First is the side ab = cd and the ad = bc side
• Have two pairs of parallel sides. AB parallel CD and AD parallel to BC.
• Having two diagonals that are not equal in length, ie the AC diagonal is not the same length as the BD.
• Have two rotary symmetry

These are angular properties in parallelogram and can be very useful for solving angle-related problems.

• How to calculate the extent of the field and the perimeter of the parallelogram?
• How to calculate the extent of the parallelogram field

Example 1.
Calculate the surface of a rectangular parallelogram table with a 160 cm long side and a perpendicular distance between sides of 40 cm in length.

Solution 1
Pedestal length = 160 cm
High parallelogram = 40
Table surface area = Length of base x Surface area of table
Area = 160 x 40 = 6400 cm2.

Example 2.
Calculate the surface area of a rectangular parallelogram table with the upper side of the upper 160 cm, the lower side of the bottom 120 cm and the oblique distance of 56.57 cm.

Solution 2
Side long top = 160 cm
Bottom side length = 120 cm
Tilted distance = 56.57 cm

First determine the value of AT
AB = CD
AT + TB = AB
AT + 120 = 160
AT = 160 - 120
AT = 40 cm

Then we find the height of the parallelogram above:
DT = √ (AD² - AT²)
DT = √ (56,57 ² - 40 ²)
DT = √ 1600.16 = 40 cm

Then the extent of the parallelogram can be determined by the formula:

Extensive parallelogram = DC x DT
Area = 160 x 40 = 6400 cm2.

Thus the value of the parallelogram range can also be determined by the formula:
Circumference = 2 x (160 + 56.57) = 433.14 cm.

Until here the discussion of us about the Rectangle Jajar Parallel Formula and the Round Ranges of Parallelogram we have also completed with the example of the problem so that we hope that you can understand the Mathematical Formula of this Parallelogram.

Thank you for reading this post.

Hopefully what I convey is helpful to me and also there. If you have problems and questions about my post, you can submit it through comments in this post. And I will answer with the ability that I have.

Source :

• wikipedia
• Buku Teknik Sipil, Ir. Sunggono K. H, Penerbit Nova;1979