It is possible, but it all depends on what they are lengths of!
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
15 units
15 units
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.
4 units
If abcd is a parallelogram, then the lengths ab and ad are sufficient. The perimeter is 36 units.
6
In parallelogram ABCD, AC=BD. Is ABCD a rectangle?
If ABCD is a parallelogram, what is the value of x?35
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.
15 units
15 units
Either diagonal of a parallelogram divides the parallelogram into two triangles of equal areas. Thus area of triangle abd = half that of the parallelogram abcd. The required ratio is 1 / 2.
10
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.
4 units
The question provides no information on what point is represented by E and therefore there is no way to answer the question.