Question

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

Answer 1

4b² - 16

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.