The expression that represents the area of the square is 9x^2 + 72x + 144
The area of any shape is the amount of space on that shape.
The side length (l) of the square is given as:
[tex]l =3x + 12[/tex]
The area of a square that has a side length, l is:
[tex]A = l^2[/tex]
So, we have:
[tex]A =(3x + 12)^2[/tex]
Expand
[tex]A =9x^2 + 72x + 144[/tex]
Hence, the expression that represents the area of the square is 9x^2 + 72x + 144
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