Answer:
Answer is option a) 6x m.
Step-by-step explanation:
[tex]given \: \: diagonal \: \: d1 = x + 2 \: \: m \\ area \: \: = 3x {}^{2} + 6x \: \: \: m \\ to \: find \: d2 \: = answer \\ area \: of \: rhombus \: = \frac{1}{2} \times d1 \times d2 \\ 3x {}^{2} + 6x \: = \frac{1}{2} \times (x + 2) \times d2 \\ 2( \frac{3x {}^{2} + 6x }{x + 2} ) = d 2\\ \frac{6x {}^{2} + 12x}{x + 2} = d2 \\ \\ solving \: the \: above \: equation \: we \: get \: \\ d2 = 6x \: \: m[/tex]
If you have any doubts see the image.
hence answer is mentioned .
HAVE A NICE DAY !
