Question

Find the value of the variable

Answer 1

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

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`\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}` ~