[tex] \: \: \: \qquad\qquad\huge\underline{{\sf Answer}}[/tex]
#[tex] \textsf{1. In the given question, we have been given a} [/tex] [tex] \textsf{ rectangular figure with length of its diagonal} [/tex][tex] \textsf{ in terms of x ~} [/tex]
[tex] \textbf{what we need to know : } [/tex]
[tex] \texttt{❝ Diagonals of a rectangle are equal to } [/tex][tex] \texttt{one another ❞ } [/tex]
[tex] \textbf{Then we can infer that :} [/tex]
[tex] \qquad \sf \implies5x - 15 = 3x + 9[/tex]
[tex] \qquad \sf \implies5x -3x = 9 + 15[/tex]
[tex] \qquad \sf \implies2x= 24[/tex]
[tex] \qquad \sf \implies x= 24 \div 2[/tex]
[tex] \qquad \sf \implies x= 12 \: \: units[/tex]
[tex] \textsf{Therefore, the value of x is 12 units} [/tex] ~
