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he gven eiTxpression can be written as,
[tex]\begin{gathered} A=a^2-14a+49 \\ =a^2-7a-7a+7\times7 \\ =a(a-7)-7(a-7) \\ =(a-7)(a-7) \end{gathered}[/tex]Since the area of a square or rectangle is,
[tex]A=\text{length}\times width[/tex]So, from the previous equation,
length=a-7
width=a-7