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?

Answer 1

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.