Question

Determine a polynomial that represents the area of the parallelogram. A=

Answer 1

Answer:

4b² - 16

Step-by-step explanation:

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

• $(2b+4)*(2b-4)=(2b+4)(2b-4)$
• $(2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)$
• $4b^2-8b+8b-16$
• $4b^2-16$

Therefore, the answer is 4b² - 16.