Respuesta :

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals [tex]bh[/tex], where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

  • [tex](2b+4)*(2b-4)=(2b+4)(2b-4)[/tex]
  • [tex](2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)[/tex]
  • [tex]4b^2-8b+8b-16[/tex]
  • [tex]4b^2-16[/tex]

Therefore, the answer is 4b² - 16.