Answer:
Area of the shaded region = (6x + 3)
Step-by-step explanation:
Area of the shaded region = Area of the large rectangle - Area of the small rectangle
Area of the large rectangle = Length × Width
= (x + 2)(x + 2)
= (x + 2)²
= x² + 4x + 4
Area of the small rectangle = (x - 1)(x - 1)
= (x - 1)²
= x² - 2x + 1
Area of the shaded region = (x² + 4x + 4) - (x² - 2x + 1)
= 6x + 3
Area of the shaded region = (6x + 3)
