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?

Respuesta :

Answer:

75cm

Step-by-step 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