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The following expression represents the area of a rectangle or square.Factor the expression to find the expressions that represent the length and width of the figure. Area=(a2-14a +49) square

Answer :

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

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