1 Answer

Pikkvile · Answer 1 · 2023-12-12T06:38:24+0000

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

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

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