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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.
48 inches
6
x=4 units
To find the area of rectangle ABCD, you can multiply the length and the width. Since the diagonal divides the rectangle into two congruent right triangles, you can use the Pythagorean theorem to find the length of ABCD. Letting x represent the length, you can solve for x: x^2 + 11^2 = 18^2, which simplifies to x^2 = 225. Thus, x = 15. The area of the rectangle is 15 * 11 = 165 square units. To find the perimeter, you can add all four sides together: 15 + 11 + 15 + 11 = 52 units.
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.
27
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.
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.
A+=14 * * * * * Not sure what the above answer means. But whatever it is, it is not the correct answer to this question! ae is half of ad so the second figure has the linear dimensions of the second are half that of the first. Therefore, the perimeter is half ie 27 units.
It is k times the perimeter of efgh, where k is the constant of proportionality between the sides of abcd and the corresponding sides of efgh.
If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.
4
The question cannot be answered without information about the relative sizes of the two polygons.
It is 16 units.
Wonderful! If you had told us something about polygon efgh, and mentioned some small tidbit of information regarding the ratio of similarity, we might have had a fighting chance. The question is a lot like asking: "Bob is older than Jim. How old is Bob ?"