If the air supply had fixed louvers reducing the air supply opening by 20%, how many square inches more would be needed for the air supply opening?

To determine the additional air supply opening required when the fixed louvers reduce the air supply by 20%, it's essential to understand how the reduction affects the total airflow and what that means for the physical size of the opening.

If the air supply opening is reduced by 20%, it means that only 80% of the original opening is available for airflow. To restore the airflow to its original level, you need to calculate how much more area is required to make up for that 20% reduction.

Let's assume the original air supply opening had an area of X square inches. After the reduction, the available area becomes 0.8X.

To find the area necessary to return to full airflow (100% of the original), you need to determine how much area corresponds to the 20% reduction. The 20% of the original area is calculated as 0.2X. Therefore, you need to make up for that 0.2X by adding additional area.

Now, if you solve for how much more area is required, you find that adding the 20% back will give you the output needed. This reinforces that the correct answer should reflect the additional square inches required to compensate for the reduced airflow due to the lou