It is not possible to answer the question with the information provided.
abcd is a polygon and, as such, cannot have a length.
It is possible to say that ab = 2*af = 14 units and that, being the biggest dimension, is the length. However, the longest side is not always the length : sometimes the horizontal side is called the length with the vertical or angled side being the height.
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
24;
bc equals st multiplied by the scale factor.
38.5
31.5 square units
14
4
27
56 (: When we say polygon abcd is similar to polygon afge, they already told you which are the lines that are similar. ab:af=bc:fg=cd:ge etc. Lines ad and af are not similar in length and therefore cannot be used to find perimeter of polygon abcd even though the perimeter of polygon afge is given.
12
The question cannot be answered without information about the relative sizes of the two polygons.
It is k times the perimeter of eh where k is the constant ratio of the sides of abcd to the corresponding sides of efgh.
It is k times the perimeter of EFGH where k is the constant ratio of the sides of ABCD to the corresponding sides of EFGH.
It is k times the perimeter of abcd where k is the constant ratio of the sides of efgh to the corresponding sides of abcd.
To find the perimeter of polygon efgh, you need the ratio of similarity between polygons abcd and efgh, as well as the perimeter of polygon abcd. Once you have the perimeter of abcd, multiply it by the ratio to obtain the perimeter of efgh. If the ratio is not provided, it cannot be determined.
Their interior angles will be the same and their sides will be have a proportional ratio
24;