Question

the grounds crew at a college is installing a path around a pond on campus as shown.$9x + 10x^2 - x^3LXB0-x^2 + 9x + 12$what is the perimeter of the path?a. $12x^2 + 25x + 20$b. $-x^3 + 15x^2 + 25x + 20$c. $-x^3 + 13x^2 + 11x + 20$d. $12x^2 + 2x + 20$

Explanation:

Step1: Sum all side expressions

$$(9x + 10x^2 - x^3) + (4x^2 - 7x + 8) + (-x^2 + 9x + 12)$$

Step2: Group like terms

$$-x^3 + (10x^2 + 4x^2 - x^2) + (9x - 7x + 9x) + (8 + 12)$$

Step3: Combine like terms

$$-x^3 + 13x^2 + 11x + 20$$

Answer:

C. $-x^3 + 13x^2 + 11x + 20$