Question

Find the area of the shaded region shown in the picture.
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Answer 1

Answer:

 D.  3r² - 4r - 5

Step-by-step explanation:

Area of shaded region

= area of larger square - area of smaller square

= 2r (2r + 1) - (r + 1)(r + 5)

= 4r² + 2r - (r² + 5r + r + 5 )

= 4r² + 2r - r² - 5r - r - 5

= 3r² - 4r - 5   ⇒  D

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