Answer:
5k² - 7k + 6
Explanation:
The perimeter of the figure given = the sum of all sides of the figure.
Perimeter = (k² - 9k + 23) + (k² + k) + (k² + k) + (2k² - 17)
Simply the expression as follows:
Perimeter = k² - 9k + 23 + k² + k + k² + k + 2k² - 17
Combine like terms
Perimeter = k² + k² + k² + 2k² - 9k + k + k + 23 - 17 (like terms are terms with the same degree)
Perimeter = 5k² - 7k + 6