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The area of a square in square feet is represented by z^(2)+12z+36. Find an expression for a side length of the square.

Sagot :

Answer:

Side is equal to [tex](z+6)[/tex] feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to [tex]90[/tex]°

Area of a square = side × side

Area of a square [tex]=z^2+12z+36[/tex]

Here, write [tex]12z=6z+6z[/tex]

Therefore,

Area of a square [tex]=z^2+6z+6z+36[/tex]

[tex]=z(z+6)+6(z+6)[/tex]

[tex]=(z+6)^2[/tex] square feet

So,

side × side [tex]=(z+6)^2[/tex]

This implies side is equal to [tex](z+6)[/tex] feet.

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