Find the value of the variable

Question 1

Question 2

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

#
$\textsf{1. In the given question, we have been given a}$
$\textsf{ rectangular figure with length of its diagonal}$
$\textsf{ in terms of x ~}$

$\textbf{what we need to know : }$

$\texttt{❝ Diagonals of a rectangle are equal to }$
$\texttt{one another ❞ }$

$\textbf{Then we can infer that :}$

$\qquad \sf \implies5x - 15 = 3x + 9$

$\qquad \sf \implies5x -3x = 9 + 15$

$\qquad \sf \implies2x= 24$

$\qquad \sf \implies x= 24 / 2$

$\qquad \sf \implies x= 12 \: \: units$

$\textsf{Therefore, the value of x is 12 units}$ ~

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