Question

Polygon Cand polygon D are similar. The perimeter of polygon C is 48 inches,
and the perimeter of polygon D is 12 inches. If one side of polygon C is 8
inches, what is the length of the corresponding side in polygon D?
OA. 32 in
OB. 8 in
C. 64 in
OD. 2 in
SUBMIT

Answer 1

option D is the correct answer. The length of the corresponding side in polygon D is 2 inches.

As it is given that the polygon is similar

That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.

perimeter of polygon C/Perimeter of polygon D = side of C/side of D

⇒ 192/48=8/length of the corresponding side(let us consider x)

⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.

Hence, the length of the corresponding side in Polygon D is 2 inches.

Therefore, option D is the correct answer.

learn more about polygon here:

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