The image shows a quadrilateral $ABCD$ with diagonal $BD$. We have the following lengths given:

• $BC = 65 \text{ cm}$
• $CD = 60 \text{ cm}$

To find the length of the diagonal $BD$, we need to know the type of quadrilateral or any additional information about the angles or other side lengths. Without that, there are multiple possibilities for the length of $BD$ depending on the shape and properties of the quadrilateral.

1. Do we know if $ABCD$ is a rectangle, parallelogram, rhombus, or any other specific type of quadrilateral?
2. Are there any given angles in the quadrilateral that can help determine the length of $BD$?
3. Is there any additional information on the lengths of $AB$ and $AD$?
4. Can you confirm if the quadrilateral has any lines of symmetry or equal sides?
5. Is the diagonal $BD$ perpendicular to any of the sides?

Tip: In many cases involving quadrilaterals, knowing the type of quadrilateral greatly simplifies the calculations, as different properties can be used to determine unknown lengths or angles.