Area of Rhombus

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Here we will discuss Area of Rhombus.
As all the sides of rhombus are equal so the perimeter of rhombus is same as that of square.

The diagonals of rhombus bisect each other at right angle.

•Perimeter of Rhombus = 4 x side
•Area of a rhombus = ½ [ product of the diagonals]
•Area = Base x Height

Some solved examples :

1) The side of a rhombus is 18 cm . Find its perimeter.
Solution :
Perimeter of Rhombus = 4 x side
⇒ = 4 x 18
&rArr = 72 cm
∴ Perimeter of Rhombus = 72 cm.
_________________________________________________________________
2) Find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm.
Solution :
Let ABCD is a rhombus with diagonals AC and BD which intersect each other at O.
AC = 24 ⇒ AO = 12
Let BO = x and AB = 13 cm (given)
By Pythagorean theorem
c² = a² + b²
13² = 12² + x² 169 = 144 + x²
x² = 169 – 144
x² = 25
x = 5 cm
BO = 5 cm
Diagonal BD = 2 x 5 = 10 cm.
Area = ½ x [ product of diagonals]
= ½ x 24 x 10
Area = 120 sq.cm

__________________________________________________________________________
3) If the area of a rhombus is 24 sq.cm and one of its diagonal is 4 cm find the length of the other diagonal.

Solution :
Area = ½ x d1 x d2
24 = ½ x 4 x d2
24 = 2 x d2
d2 = 24/2
d2 = 12 cm

---

Mensuration : Area and Perimeter

• Perimeter and Area of Irregular Shape
• Area and Perimeter of the Rectangle
• Area of Square (perimeter of square)
• Perimeter of Parallelogram(Area of Parallelogram)
• Area of Rhombus(Perimeter of rhombus)
• Area of Trapezoid (Trapezium)
• Triangle Area (Perimeter of triangle)
• Herons Formula

Mensuration page

7th grade math

From Rhombus to Home Page

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.