Polygon A is similar to polygon B. The sides of polygon A are twice the length
of the corresponding sides of polygon B. The perimeter of polygon Ais 100.
What is the perimeter of polygon B?

Respuesta :

Answer:

50

Step-by-step explanation:

half of polygon A is 50          the sides of polygon A are twice the length

                                                 of the corresponding sides of polygon B.

It's the sum of the length of the sides used to make the given figure. The perimeter of Polygon A is 50 units.

What is the perimeter?

It's the sum of the length of the sides used to make the given figure.

Given Polygon A is similar to polygon B. Also, The perimeter of polygon Ais 100.  Now, let the number of sides in Polygon A be n, while the length of a side is 2x. Therefore, the perimeter of the polygon A is,

n × 2x = 100

Given the length of the side of the polygon B is half the length of the side of polygon A. Therefore, the perimeter of polygon B is,

n × x = Perimeter

Now, if the ratio of the two equations is taken then,

(n × 2x)/ (n × x) = 100/ Perimeter

2 = 100/Perimeter

Perimeter = 50 units

Hence, the perimeter of Polygon A is 50 units.

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