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2 answers:
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The perimeter of the figure is 50.56 cm.
Solution:
Radius of the quarter of a circle = 8 cm
Perimeter of the quarter circle =
= 12.56 cm
In figure, one side of the quarter circle is merged with rectangle, so remove one radius from the perimeter of the quarter circle.
Perimeter of the given quarter circle = 12.56 cm – one radius
= 12.56 cm – 8 cm
= 4.56 cm
Perimeter of the rectangle given = (17 – 8) cm + 10 cm + 17 cm + 10 cm
= 9 cm + 10 cm + 17 cm + 10 cm
= 46 cm
Perimeter of the given figure = 4.56 cm + 46 cm
= 50.56 cm
Hence the perimeter of the figure is 50.56 cm.