A rectangle with an area of x2 – 4x – 12 square units is represented by the model. What side lengths should be used to model the rectangle? (x + 2) and (x – 6) (x + 6) and (x – 2) (x + 2) and (x – 10) (x + 10) and (x – 2)

(x+2) and (x-6) represents the side lengths.

Step-by-step explanation:

The area of the rectangle is so in this case to find the side lengths we need to factor out the area.

To factor  We need to find two numbers that if we multiply together we will have -12 and if we add those two number we will get -4.

-6 and 2 works out  

Because -6 * 2 = -12 and -6 +2 = -4

Now we will rewrite the area as

+2x - 6x -12   Group them  

( +2x) (-6x -12)  factor them

x (x +2)  -6(x+2)  factor out x+2

(x+2)(x-6)  Done!

(-5,-28)

i graphed to on desmos.