Romboid

Do you want to learn how to calculate the area of the rhomboidits perimeter or to know its characteristics? You are in the right place.

Below you will find an online calculator to obtain the area of the rhomboid automatically and without operations. Just enter the value of its height and the value of the base to obtain the data.

What is a rhomboid?

Rhomboid parts

A four-sided figure or parallelogram that is neither a rhomboid nor a rhomboid is called a rhomboid. rectangle not a rhombus.

In order to know how to differentiate between them, here are the properties of the rhomboid:

  • It has 4 equal sides two by two.
  • Its 4 angles are also equal two by two and together they add up to 360º. Also note that α+β=180º so they are supplementary.
  • It has two equal diagonals that are not perpendicular to each other.
  • No symmetry axis

How to calculate the area of a rhomboid

Rhomboid area

To calculate the area of a rhomboid we need to know two pieces of information:

  • The value of the base (b)
  • Its height (h)

With these unknowns we can apply the formula that will allow us to calculate its area, which is exactly the same as the formula for calculating the area of a rectangle:

Area rhomboid = base x height

For example, if we are asked to calculate the area of a rhomboid whose height is 5 centimeters and its base measures 9 centimeters, the result will be:

5 cm x 9 cm = 45 cm2

If we are asked to calculate the height of a rhomboid, we can use the pythagorean theorem to solve the exercise. The formula to be used will be the following:

h (height) = √(a2 - c2)

We have called 'c' the segment between the upper left vertex and the line that delimits the height of the rhomboid. This data must be given to us because otherwise, we will not be able to calculate its value in a simple way. If you have problems with your exercise, leave us a comment and we will help you to solve it.

Rhomboid perimeter

rhomboid

To find the perimeter of the rhomboid just add the length of all its sides together. As we have seen before, this figure has 4 sides that are equal 2 to 2, so we can calculate its perimeter by applying the following formula:

Perimeter = 2 x (a + b)

As a solved exercise, let's calculate the perimeter of a rhomboid whose base measures 9 cm and the oblique side measures 4 cm:

p = 2 (9cm + 4cm) = 2 x 13 = 26 centimeters.

As you can see, it is a very simple calculation that does not involve any difficulty.

Difference between rhombus and rhomboid

Rhombus and rhomboid

Although the rhombus and rhomboid are very similar, they are not the same. Next we are going to see the equalities and differences between them:

Equalities:

  • Both have 4 sides and four vertices
  • The sum of all internal angles is 360º.

Differences:

  • In the rhombus the diagonals are perpendicular to each other and they are also bisectors of the angles (they divide it in half) while neither of these two conditions is fulfilled in the rhomboid.
  • In the rhombus we can find symmetry axes marked by the diagonals while in the rhomboid there are no symmetry axes.

If you have any questions about this, write us a comment and we will be happy to help you solve it.

13 thoughts on “Romboide”

  1. HELLO, what I need is to find the lengths of the sides of a symmetrical rhomboid, where the only value I know is of its diagonals: the major diagonal is 7 cm and the minor diagonal is 6. . . I have the formulas of area and perimeter but I do not know how to find the values of its sides please . . i need to regularize the subject if you answer me as soon as possible.

    Reply
  2. Hello Natalia,

    When you say symmetric rhomboid, we understand that you mean a rhombus (all 4 sides are equal). If that is the case, you can use the parallelogram law to get the sides of the rhomboid from the diagonals with this formula:

    4a2 = D2 + d2

    Being:

    - to the length of the rhombus side
    - D the length of the longest diagonal (7cm)
    - d the length of the minor diagonal (6cm)

    You have more information here.

    Greetings!

    Reply
  3. Hello I want to calculate the height of the rhomboid but I do not know how to read this I got confused can you help me!!!!
    Thank you!

    Reply
    • Hello Claudia,

      If you don't give us more data we can't help you. There are multiple ways to calculate the height of a rhomboid but using one way or another depends on the data given in the problem statement.

      For your help, the formula for the height is as follows:

      h = √(a2 - c2)

      In the image of the rhomboid you have represented what a and c are.

  4. good I have the following problem and I don't know how to solve it:
    the area of a rhomboid is 50 cm. if the length of the smaller diagonal is one third of the length of the larger diagonal, how long is the perimeter?

    Reply
    • Hello Armando,

      Is the wording of the exercise correct? The surface area is not measured in centimeters (that is length) but in square centimeters (cm2). If you can confirm that so we can help you solve the problem.

  5. What happens if we only have the data that all its sides measure 23, but the value of the segment "c" and the height are not specified?

    Reply
    • You can set up a system of two equations with two unknowns and clear the value of C and the height of the rhomboid.

  6. 1. The hotel will make an overnight visit to the mountain, but must place a fence to avoid leaving the security area; the perimeter will be rhomboidal with the following dimensions 3n + 2, n2 - 4, n2 - 4, 3n + 2.
    a) Draw and establish the measures of the polygon.

    Reply
  7. I am asked to calculate the area and perimeter of a rhomboid with a base of 10.5 cm and a side of 8.3 cm but I am not given the height.

    Reply
  8. Hello, I am asked to calculate the area and perimeter of a rhomboid that has as base 10.5 cm and one of its sides 8.3 cm but I do not get the height.

    Reply
  9. the minor diagonal of a rhomboid measures 17.1m its lateral side is 7.94m and its acute angles measure 54.5083 what is the measure of its major diagonal ? what is its area ?

    Reply
    • Hello Maylyn,

      We don't understand your problem because a rhomboid has its diagonals exactly the same. If there is a major diagonal and a minor diagonal then we are talking about a rhombus.

      In that case, its major diagonal can be calculated by applying the following formula:

      D = √(4a2 - d2)

      Where a is the value of the side and d is the value of its minor diagonal.

      You have all the information you need to solve your problem in our section dedicated to the rhombus.

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