Melanies bedroom floor has a with equal to 3x+6 and a length equal to 4x-7. What is the equation that represents the area of the floor?
The equation that represents the area of the floor is given by:
Area = width * length
Let's substitute the given values into the equation:
Area = (3x + 6) * (4x - 7)
To simplify the expression, we can use the distributive property:
Area = 3x * 4x + 3x * (-7) + 6 * 4x + 6 * (-7)
Simplifying further:
Area = 12x² - 21x + 24x - 42
Combining like terms:
Area = 12x² + 3x - 42
So, the equation that represents the area of the floor is 12x² + 3x - 42.