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

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