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28 April, 06:48

Polygon R and polygon S are similar. The perimeter of polygon R is 136 cm, and the perimeter of polygon S is 64 cm. If one side of polygon S is 8 cm, what is the length of the corresponding side in polygon R?

A. 17 cm

B. 8 cm

C. 16 cm

D. 289 cm

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Answers (1)
  1. 28 April, 08:46
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    Answer

    Option A) 17cm

    Explanation

    Polygon R and polygon S are similar. This means the polygon R and S have equal number of sides.

    Step 1 : Find the number of sides of polygon S

    The perimeter of polygon S is 64 cm. If one side of polygon S is 8 cm

    Therefore, Number of sides of polygon S = 64/8 = 8 sides

    and number of sides of polygon R = 8 side

    Step 2 : Find the number of sides of polygon R

    The perimeter of polygon R is 136 cm,

    Number of sides of polygon R = 136/8 = 17 cm

    Therefore side length of polygon R = 17 cm
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