Impact of Increasing Length of Rectangle on Area
Increasing the length of a rectangle by a certain percentage will have a direct impact on its area. Let's calculate the percentage increase in the area when the length of a rectangle is increased by 5%.

Calculating the Increase in Area
To calculate the increase in the area of a rectangle when the length is increased by 5%, we first need to understand the formula for the area of a rectangle. The area of a rectangle is given by the formula: Area = Length x Width.
When the length of a rectangle is increased by 5%, the new length becomes 105% of the original length (100% + 5% increase). Let's assume the original length is L units. Therefore, the new length will be 1.05L units.
Now, the original area of the rectangle is L x W, and the new area will be 1.05L x W.

Calculating Percentage Increase in Area
To find the percentage increase in the area, we need to calculate the difference between the new area and the original area, and then express it as a percentage of the original area.
Percentage Increase = ((New Area - Original Area) / Original Area) x 100%
Substitute the values:
Percentage Increase = (((1.05L x W) - (L x W)) / (L x W)) x 100%
Percentage Increase = ((0.05L x W) / (L x W)) x 100%
Percentage Increase = 0.05 x 100%
Percentage Increase = 5%
Therefore, when the length of a rectangle is increased by 5%, the area of the rectangle will increase by 5%.