Question

How do you write the expression for the area given the length (x+6) and width (x-3)?

Answer 1

For a rectangle the expression would be: `A = (x + 6) * (x - 3)` or `A = x^2 - 3x - 18`

Explanation:

The formula for area (assuming this is a rectangle) is:

`A = l * w` where `A` is the area of the rectangle, `l` is the length of the rectangle and `w` is the width of the rectangle.

In this problem we are provided the length and width which we can substitute for the `l` and `w` is the formula to give:

`A = (x + 6) * (x - 3)`

We can expand this to the form of a quadratic equation by cross multiplying to give:

`A = x^2 + 6x - 3x - 18`

`A = x^2 - 3x - 18`