Q:$1$ let there be two numbers and. A roctungle ABCD has sides $AB$ and $CD$ of length units and the other sides $BC$ and $DA$ are of length units Perimeter of the rectangle ABCD in $18$ units. Also, the perimeter of the rectungle ABCD exceeds the length of half of side $BC$ by $16$ units.

$($a$)$ Formulate the above problem as a system of linear equetions in terms of and. Represent this system in metrix notation.