figure ABCD is a rectangle AC and BD are diagonals. AC =25 meters and BC =15 meters. what is the length of DE?

We have here a rectangle whose one side measures 15 m, and one diagonal measures 25 m.
Please remember the properties of rectangles:
1. they are parallelograms, which means that their diagonals bisect each other
2. their diagonals are congruent or equal in size
So AC = BD and if AC = 25, then DB must also be 25 m.
BEcause they bisect each other, E is the midpoint of both AC and DB. It means that DE = 1/2 DB.
[tex]\begin{gathered} DE=\frac{1}{2}DB \\ \\ DE=\frac{1}{2}(25) \\ \\ DE=12.5m \end{gathered}[/tex]The answer is 12.5 meters.