The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area
Answer Details
The area of a square is given by the formula: A = s^2, where s is the length of a side of the square.
Initially, the length of the side of the square is 20cm, so its area is A1 = 20^2 = 400 cm^2.
When the length of the side is increased to 21cm, the new area becomes A2 = 21^2 = 441 cm^2.
The difference in area between the two squares is:
A2 - A1 = 441 - 400 = 41 cm^2
To find the percentage increase in area, we need to divide the difference in area by the original area, and then multiply by 100:
percentage increase = (difference in area / original area) x 100%
= (41 / 400) x 100%
= 0.1025 x 100%
= 10.25%
Therefore, the percentage increase in area is 10.25%.
So, the correct answer is 10.25%.