Bella had 1/3 of a wall to paint.she painted 1/4 of what was left green and 1/2 yellow.what is the area of the region Bella.has not yet painted?

she painted 3/4 of 1/3 = 1/4 of the total wall

what was left is 1/3 -1/4 = 4/12 -3/12 = 1/12 is bare still

To find the area of the region Bella has not yet painted, we can follow these steps:

1. Calculate the area of the whole wall.
2. Find out how much Bella has already painted.
3. Subtract the painted area from the total area to get the remaining area.

Let's go through each step:

1. Calculate the area of the whole wall:
Since the amount of wall Bella initially had to paint was not mentioned, we'll assume the whole wall as the baseline. Let's represent the area of the entire wall as "W".

2. Find out how much Bella has already painted:
Bella initially had 1/3 of the wall to paint. This means she painted 2/3 of the wall, which is equal to 2/3 * W.

3. Find the area Bella has painted green:
Out of what Bella has left to paint (2/3 * W), she painted 1/4 of that area green. This can be calculated as (1/4) * (2/3 * W) = (1/6) * W.

4. Find the area Bella has painted yellow:
Out of what Bella has left to paint (2/3 * W), she painted 1/2 of that area yellow. This can be calculated as (1/2) * (2/3 * W) = (1/3) * W.

5. Calculate the remaining area:
To find the area Bella has not yet painted, we subtract the areas she has painted (green and yellow) from the total area of the wall:
Remaining area = Total area - (Area painted green + Area painted yellow)
Remaining area = W - [(1/6) * W + (1/3) * W]
Remaining area = W - (1/6 + 1/3) * W
Remaining area = W - (2/6 + 2/6) * W
Remaining area = W - (4/6) * W
Remaining area = W - (2/3) * W
Remaining area = (1 - 2/3) * W
Remaining area = (1/3) * W

Therefore, the area of the region Bella has not yet painted is equal to (1/3) of the total area of the wall (W).