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The perimeter of two similar polygons are in the ratio 1:25. If the length of one side is the smaller polygon is 3 centimeters what is the length of the corresponding side?

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12 votes

Answer:

75cm

Explanation:

The perimeter of two similar polygons are in the ratio 1:25. If the length of one side is the smaller polygon is 3 centimeters what is the length of the corresponding side?

Ratio is given as:

Small : Large

1 : 25

Smaller polygon length = 3cm

Therefore, the length of the larger polygon = x

Hence we have the proportion:

1/25 = 3/x

Cross Multiply

x × 1 = 25 × 3

x = 75 cm

The length of the corresponding polygon = 75cm

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