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A frame of width a surrounds a 5 by 7 inch photograph. Find the expression that represents the area of theframe in terms of a.

A frame of width a surrounds a 5 by 7 inch photograph. Find the expression that represents-example-1
User BJ Clark
by
8.0k points

1 Answer

7 votes

From the given question and diagram:

Total area = total length times

And,


\text{Total width=(2a+5) times}

So,


\begin{gathered} (2a+5)(2a+7)=4a^2+14a+10a+35 \\ =4a^2+24a+35 \end{gathered}

Then,

The original area which is 5 by 7 is 35

so,


\begin{gathered} 4a^2+24a+35=4a^2+24a+35-35 \\ =4a^2+24a \end{gathered}

Hence, the correct option is B.

User LaurentG
by
8.7k points

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