Respuesta :

Answer:

7x - 1

Step-by-step explanation:

Whole rectangle:

Length = x + 5

Width = x - 1

Area of the whole triangle = length × width

= (x + 5) (x - 1)

= x² - x + 5x - 5

= x² + 4x - 5

Unshaded rectangle:

Length = x + 1

Width = x - 4

Area of the unshaded rectangle = length × width

= (x + 1) (x - 4)

= x² - 4x + x - 4

= x² - 3x - 4

Area of the shaded region = Area of the whole rectangle - Area of the unshaded rectangle

= (x² + 4x - 5) - (x² - 3x - 4)

= x² + 4x - 5 - x² + 3x + 4

= 7x - 1

Area of the shaded region = 7x - 1

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