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

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Answer 1 · 2016-11-23T23:03:08

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

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:

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

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