Answer:
= 72 cm
Step-by-step explanation:
The ratio of lengths of two similar figures is called the linear scale factor.
In this case, the linear scale factor is 2/3
The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.
Therefore, 2/3 = 48/x
x = 48 × 3/2
= 72 cm
The perimeter of the other polygon is 72 cm
Answer:
72 cm
Step-by-step explanation:
Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.
Perimeter of the smaller polygon = 48 cm
let perimeter of the larger polygon = x cm
We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
So,
Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3
48 / x = 2 / 3
48(3) = 2(x)
144 = 2x
x = 72 cm
