(1) The area of a rectangle is 4x^2-16 Which binomial factor could represent the width of the rectangle? (A) x+2 B x+4 C 2x+1 (1) D 2x+16

To find the binomial factor that represents the width of the rectangle, we need to factorize the given expression for the area.

The given expression for the area of the rectangle is $$4x^{2}-16$$ .

We can factorize this expression by factoring out the common factor of 4:

$$4x^{2}-16 = 4(x^{2}-4)$$

Now, we can factorize the expression inside the parentheses:

$$x^{2}-4 = (x+2)(x-2)$$

So, the factored form of the given expression is:

$$4x^{2}-16 = 4(x+2)(x-2)$$

Therefore, the binomial factor that represents the width of the rectangle is (A) $$x+2$$ .