To find the area of the new poster after reducing its dimensions, we first need to calculate the new length and width.
The original dimensions of the poster are:
- Length: 36 inches
- Width: 24 inches
The reductions are:
- Length reduced by 6 inches: \[ 36 - 6 = 30 \text{ inches} \]
- Width reduced by 4 inches: \[ 24 - 4 = 20 \text{ inches} \]
Now, we have the new dimensions:
- New Length: 30 inches
- New Width: 20 inches
Next, we calculate the area of the new poster using the formula for the area of a rectangle, which is given by: \[ \text{Area} = \text{Length} \times \text{Width} \]
Substituting in the new dimensions: \[ \text{Area} = 30 \text{ inches} \times 20 \text{ inches} = 600 \text{ square inches} \]
Thus, the area of the new poster is \( \boxed{600} \) square inches.