Question

Write a polynomial that represents the area of the shaded region

Answer 1

Answer:

S = 1/2 . x^2 + 11/2 . x + 15

Step-by-step explanation:

- Let S = the area of the shaded region

- From the figure we see that S = 1/2 the area of the rectangle

- The area of the rectangle is (x+5)(x+6) = x^2 + 11x + 30

--> S = 1/2 (x^2 + 11x + 30)

--> S = 1/2 . x^2 + 11/2 . x + 15