Which of the following is the percentage increase in the area of a square if its side is increased by 20%?
Explanation
Method 1: Using the Successive Percentage Formula
Since the area of a square depends on the product of its two sides (Area=side×side), any percentage change in the sides can be calculated using the successive percentage increase formula:
Net Percentage Change=x+y+100x×y
Here, both sides are increased by 20%, so x=20 and y=20:
Percentage Increase=20+20+10020×20
Percentage Increase=40+100400
Percentage Increase=40+4=44%
Explanation
Method 1: Using the Successive Percentage Formula
Since the area of a square depends on the product of its two sides (Area=side×side), any percentage change in the sides can be calculated using the successive percentage increase formula:
Net Percentage Change=x+y+100x×y
Here, both sides are increased by 20%, so x=20 and y=20:
Percentage Increase=20+20+10020×20
Percentage Increase=40+100400
Percentage Increase=40+4=44%