Answer:
Area of the shaded region = (8x + 6)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the smaller rectangle
Area of the large rectangle = Length × width
= (x + 3)(x + 2)
= x(x + 2) + 3(x + 2)
= x² + 2x + 3x + 6
= x² + 5x + 6
Area of the smaller rectangle = x(x - 3)
= (x² - 3x)
Area of the shaded region = (x² + 5x + 6) - (x² - 3x)
= x² + 5x + 6 - x² + 3x
= (8x + 6)
