Final answer:
Chloroplasts and mitochondria are the organelles that are both membrane bound and contain double membranes.
Step-by-step explanation:
The organelles that are both membrane bound and contain double membranes are chloroplasts and mitochondria.
Chloroplasts are found in plant cells and are responsible for photosynthesis, where light energy is converted into chemical energy in the form of glucose. They have a double membrane structure and contain thylakoids and grana, which are involved in capturing and using the light energy.
Mitochondria, on the other hand, are found in both plant and animal cells and are responsible for cellular respiration, where glucose is broken down to produce ATP. They also have a double membrane structure, with inner folds called cristae that increase the surface area for ATP production.