Question

What side lengths should be used to model the rectangle?

A rectangle with an area of x2 - 4x - 12 square units is
represented by the model
(x + 2) and (x-6)
(x+6) and (x - 2)
(x + 2) and (x - 10)
(x + 10) and (x - 2)

-X
-
+X
-
-
- -
- -
-
-
- -
- -
+X

Answer 1

A (x + 2) and (x – 6)

Explanation:

I took the test on Edge :)

Answer 2

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