Question

What is an expression for the area of the shaded region? Simplify your answer.

Answer 1

Answer:

if it is put into a equation this would be it

2(x^2+6x+9) - (1.57)(x^2+6x+9)

Step-by-step explanation:

(x+3)(2x+6) - 1/2(3.14)(x+3)(x+3)

(2x^2+6x+6x+18) - 1/2(3.14)(x^2+3x+3x+9)

(2x^2+12x+18) - 1/2(3.14)(x^2+6x+9)

2(x^2+6x+9) - (1.57)(x^2+6x+9)

2(x^2+6x+9) is the rectangle at the bottom

(1.57)(x^2+6x+9) is the semicircle that is taking out of the shaded area