The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.
Area and perimeter-based problem:
What information do we have?
Radius of semi-circle = 8 / 2 = 4 unit
Length of remain Rectangle = 8 unit
Width of remain Rectangle = 2 unit
Perimeter of shaded figure = πr + (l + 2b)
Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]
Perimeter of shaded figure = 12.56 + 4 + 4
Perimeter of shaded figure = 20.56 units
Area of shaded figure = πr²/2 + lb/2
Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2
Area of shaded figure = (3.14)(8) + 8
Area of shaded figure = 25.12 + 8
Area of shaded figure = 33.12 unit²
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