Problemas
Two p polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is (1)/(6) Find the perimeter of the other polygon. The perimeter of the other polygon is __ yards. square disappointed
Roztwór
José
maestro · Tutor durante 5 años
4.4
(301 Votos)
Respuesta
To solve this problem, we need to find the perimeter of the smaller polygon.Given information:- The perimeter of the larger polygon is 120 yards.- The ratio of the corresponding side lengths is
.Since the polygons are similar, the ratio of the perimeters will be the same as the ratio of the corresponding side lengths.Let's denote the perimeter of the smaller polygon as
.We can set up a proportion to find the perimeter of the smaller polygon:
Cross-multiplying, we get:
Dividing both sides by 6, we get:
Therefore, the perimeter of the smaller polygon is 20 yards.