1. What is Percentage Change in Area of Rectangle?

Percentage Change in Area of Rectangle measures the relative change in the area of a rectangle when both its length and breadth are changed by certain percentages. It helps understand how dimensional changes affect the overall area.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( L_{\%} \) — Percentage change in length
• \( B_{\%} \) — Percentage change in breadth

Explanation: The formula calculates the combined effect of percentage changes in both dimensions on the total area of the rectangle.

3. Importance of Area Change Calculation

Details: This calculation is important in various fields including construction, manufacturing, and design where understanding how dimensional changes affect surface area is crucial for material estimation and cost calculations.

4. Using the Calculator

Tips: Enter the percentage change in length and breadth as numerical values (positive for increase, negative for decrease). The calculator will compute the resulting percentage change in area.

5. Frequently Asked Questions (FAQ)

Q1: Can I use negative percentages for reduction in dimensions?
A: Yes, negative values represent percentage decreases in length or breadth.

Q2: How does a 50% increase in both dimensions affect the area?
A: A 50% increase in both length and breadth results in a 125% increase in area.

Q3: What if only one dimension changes?
A: If only length changes by X%, area changes by approximately X%. The same applies for breadth changes.

Q4: Is this formula specific to rectangles only?
A: Yes, this formula applies specifically to rectangles where area = length × breadth.

Q5: How accurate is this calculation for large percentage changes?
A: The formula is mathematically exact for any percentage change values.