Question

PQRS is a rhombus. Find QR.
Will give points!!

Answer 1

`\qquad\qquad\huge\underline{{\sf Answer}}`

As we know, all sides of a Rhombus are equal to each other ~ so we can conclude that :

`\qquad \sf  \dashrightarrow \:4x - 16 = 2x + 6`

`\qquad \sf  \dashrightarrow \:4x - 2x = 6 + 16`

`\qquad \sf  \dashrightarrow \:2x = 22`

`\qquad \sf  \dashrightarrow \:x = 22 / 2`

`\qquad \sf  \dashrightarrow \:x = 11`

Now, plug in the value of x in any equation to get the side length of rhombus ~

`\qquad \sf  \dashrightarrow \:2x + 6`

`\qquad \sf  \dashrightarrow \:2(11) + 6`

`\qquad \sf  \dashrightarrow \:22 + 6`

`\qquad \sf  \dashrightarrow \:28 \: \: units`

Side PS = Side QR = 28 units