Question

please amansharma264 please answer this because you are intelligent in math please answer this​

Answer 1

$\underline{ \sf \large{Solution - }}$

➢ Diagram : See the attachment

We know that,

➢ Sides of rhombus are equal.

So,

$\sf \implies BC = CD$

$\sf \implies (3x - 6) = (x + 14)$

$\sf \implies3x - x= 14+ 6$

$\sf \implies 2x= 20$

$\sf \implies x= \cancel \dfrac{20}{2}$

$\sf \implies x= 10$

➢ Thus, value of x = 10

Now,

➢ Sides of rhombus :

$\sf \implies BC \: \: \: \: \: \:\: \: or \: \:\: \: \: \: \: \: CD$

$\sf \implies (3x - 6) \:cm \: \: \: \: \: \: \: \:or \: \:\: \: \: \: \: \: (x + 14) \: cm$

$\sf \implies ( 3 (10 )- 6) \: cm\: \: \: \: \: \: \: \: or\: \: \: \: \: \: \: \: (10 + 14) \: cm$

$\sf \implies ( 30 - 6) \:cm\: \: \: \:\: \: \: \: or \: \: \: \: \: \: \: \: (10 + 14) \: cm$

$\sf \implies 24 \:cm\: \: \: \: \: \:\: \: or \: \: \: \: \: \: \: \: 24 \:cm$

➢ So, sides of rhombus :

$\sf \implies BC = CD = DA = AB = 24 \: cm$

Now,

➢ Perimeter of Rhombus = 4 × side

$\sf \implies Perimeter\: _ {( Rhombus)} = 4 \times 24 \: cm$

$\sf \implies Perimeter\: _ {( Rhombus)} = 96 \: cm$

Therefore,

$\sf \implies \underline{ \boxed{ \sf The \: perimeter \: of \: the \: Rhombus \: is \: 96 \: cm }}$