The area of a rug, which is shaped like a rectangle, is 4x²+4x square feet. factor this polynomial to find expressions for the dimensions of the rug

The dimensions of the rug would be 4x and x+1.

To factor this, we take out the GCF.  The larges factor that both coefficients have in common is 4.  Both factors also have an x, so we factor both out:

4x(     )

Taking 4x out of 4x² leaves x:
4x(x     )

Dividing 4x by 4x leaves 1:
4x(x+1)

Delta airlines or untied airlines