Explanation:

- We have a rectangle with dimensions of 8 cm and 12 cm.

- The challenge is to fit the largest possible area of three non-overlapping circles inside this rectangle.

- Each circle will have a maximum radius that lets them fit without intersecting each other or the rectangle edges.

Thinking through the options:

1. Option 1 (16p square cm):

- Implies 3 circles together cover an area equal to 16p cm².

- This option suggests smaller radii for the circles, likely under-optimizing use of available space.

2. Option 2 (18p square cm):

- Idicates a marginally larger coverage than Option 1.

- Still, the area could be maximized more than this given space constraints.

3. Option 3 (20p square cm):

- Suggests covering 20p cm².

- More area compared to Options 1 & 2, but not maximizing the potential space use.

4. Option 4 (24p square cm):

- Implies full utilization of the potential space within the rectangle.

- By strategic positioning, 3 circles fit optimally, using all available dimensions.

Correct Answer: Option 4 - 24p square cm