Question

What side lengths should be used to model the rectangle?

Answer 1

For this case we have that by definition, the area of a rectangle is given by:

$A = ab$

Where:

a, b: They are the sides of the rectangle

We have as data that the area of the rectangle is given by:

$x ^ 2-4x-12$

IF we factor the expression, we must find two numbers that when multiplied give as a result "-12" and when summed give as result "-4". These numbers are: -6 and +2:

$(x-6) (x + 2)$

Thus, the sides of the rectangle are given by:

$(x-6) (x + 2)$

Answer:

Option A