Question

The diagonals of a rhombus are 12cm and 9cm and it's height is 5cm. find the area of the rhombus ​

Answer 1

Answer:

Area of the Rhombus = 54 cm²

Step-by-step explanation:

Given :

$\rm{First\:diagonal\:of\:the\:Rhombus=12cm}$

$\rm{Second\:diagonal\:of\:the\:Rhombus=9cm}$

$\rm{Height\:of\:the\:Rhombus=5cm}$

To find :

The area of the Rhombus

Taken :

To find the area of the Rhombus use this formula -:

$\boxed{\rm{A=\dfrac{1}{2}\times\:d_{1}\times\:d_{2}}}$

Where,

A = Area of the Rhombus

$\sf{d_{1}}$ = Diagonal 1

$\sf{d_{2}}$ = Diagonal 2

Solution :

$:\Rightarrow\rm{A=\dfrac{1}{\cancel{2}}\times\cancel{12}cm\times9cm}$

$:\Rightarrow\rm{A=6cm\times9cm}$

$:\Rightarrow\rm{A=54{cm}^{2}}$

So , the area of the Rhombus is 54 cm² .