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