The ratio of the areas of two similar polygons is 49: 16. if the perimeter of the first polygon is 22 cm, what is the perimeter of the second polygon?

1st: either 22 [ 7/4] or 22 [4/7]...if 22 is for smaller or for the larger...to see this consider the similar triangles ...let the smaller have base 2a and height b { area = ab } then the larger is of the form base 2aK and height bK { area ab K² }..ratio of areas is K² = 49/16 --> K = 7 / 4

3rd: as written the side length is [1/2] of the original side length...what is difficult about that ?

It is the top one. the answer is -7. that is smallest

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.