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