What is the area of a square that had a side length of x-6

A (Square) = (x² - 12x + 36).

Step-by-step explanation:

The area of a square can be found using the following equation:

Area of the Square = side x side

Or in variables:

A (Square) = s²

Note that by definition of a square, all sides of the square has the same measurement, so if you know the side as x - 6, then all sides are x - 6. Plug in x - 6 for s in the equation:

A (Square) = (x - 6)²

Simplify. Remember to follow the FOIL method. FOIL = First, Outside, Inside, Last).

A (Square) = (x - 6)(x - 6)

A (Square) = (x² - 6x - 6x + 36)

Simplify. Combine terms with the same amount of variables:

A (Square) = (x² - 12x + 36).

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the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this