The areas of two similar polygons are related as 16:49. The perimeter of the larger polygon is 35
| May 21, 2021 | education
The areas of two similar polygons are related as 16:49. The perimeter of the larger polygon is 35. Find the perimeter of the smaller polygon.
The ratio of the areas of similar triangles is equal to the square of the similarity coefficient S1 / S2 = K ^ 2, then, in our case, K = √ (16/49) = 4/7.
The ratio of the perimeters of similar triangles is equal to the coefficient of similarity.
P1 / P2 = 4/7.
Р1 = Р2 * 4/7 = 35 * 4/7 = 20 cm.
Answer: The perimeter of the smaller triangle is 20 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
