Question

Please tennetiraj86 please answer this I will Mark you brainlist​

Answer 1

Answer:

The answer is 96m friend

Answer 2

Step-by-step explanation:

As per the provided information in the given question, we have :

• Two consecutive sides of a rhombus are represented by 3x - 6(First side) and x + 14(Second side).

We are asked to calculate the perimeter of the rhombus.

All sides of a rhombus are equal. So, the sides given to us in the question are equal, respectively.

So,

$\begin{gathered} \longmapsto \bf {First \: side = Second \: side_{} }\\ \end{gathered}$

By substituting the values we have.

$\begin{gathered} \longmapsto \rm { 3x - 6 = x + 14}\\ \end{gathered}$

Transposing 6 from L.H.S to R.H.S. Its sign gets changed from (-) to (+). & Transposing x from R.H.S to L.H.S. It's sign gets changed from (+) to (-)

$\begin{gathered} \longmapsto \rm { 3x - x = 14 + 6}\\ \end{gathered}$

Performing subtraction in L.H.S & Performing addition in RHS.

$\begin{gathered} \longmapsto \rm { 2x= 20}\\ \end{gathered}$

Dividing 20 with 2.

$\begin{gathered} \longmapsto \rm { x= \dfrac{20}{2} }\\ \end{gathered}$

Cancelling the numbers.

$\begin{gathered} \longmapsto \rm { x= 10 }\\ \end{gathered}$

______________________

Substituting the value of x in 3x - 6.

$\begin{gathered} \longmapsto \rm { 3(10)- 6 }\\ \end{gathered}$

Multiplying 3 with the term given in the brackets.

$\begin{gathered} \longmapsto \rm { 30- 6 }\\ \end{gathered}$

Performing subtraction.

$\begin{gathered} \longmapsto \rm {24}\\ \end{gathered}$

∴ As, One side of the rhombus is 24 cm, All the sides are of length 24 cm.

______________________

As we know that,

$\begin{gathered} \longmapsto \bf { Perimeter_{(Rhombus) } = 4 \times Side }\\ \end{gathered}$

By substituting the values we have.

$\begin{gathered} \longmapsto \rm { 4 \times 24}\\ \end{gathered}$

Performing multiplication.

$\begin{gathered} \longmapsto \rm { 96}\\ \end{gathered}$

$\rule{200}2$

∴ The perimeter of the rhombus is 96 cm.