Use a larger output power adapter will not damaged led strip.
If in the future you may want to extend the light strip.
You can choose a larger output power supply in the first time.
At that time, you can use the same power supply for all led strip.

 How to choose the correct power?
5050 led strip is 14.4W/Meter, 12W=1A
5 meter via 5 x 14.4W= 72W = 6A (±1A)
10 meter via 10 x 14.4=144W = 12A (±1A)
13 meter via 13 x 14.4 = 187.2W = 15.6A (±1A)

 In this case:
5 meter can choose 6A(±1A)
10 meter choose 12.5A(Because there is no 12A type, Must choose a larger.)
13 meter need choose 15A(Because there is no 15.6A type)
Notice: If you choose a smaller, Light will be a little dim.