Answer:
A (Square) = (x² - 12x + 36).
Step-by-step explanation:
The area of a square can be found using the following equation:
<em>Area of the Square = side x side</em>
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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