What will be the percentage increase in the area of a square, If its side is increased by 20%?

Step 1: Understand the problem The problem is asking for the percentage increase in the area of a square if the side is increased by 20%.

Step 2: Recall the formula for the area of a square The area of a square is given by the formula A = s^2, where s is the length of a side.

Step 3: Calculate the new side length If the side length is increased by 20%, the new side length is 1.20s.

Step 4: Calculate the new area Substitute the new side length into the area formula to get the new area: A_new = (1.20s)^2 = 1.44s^2.

Step 5: Calculate the percentage increase in area The percentage increase in area is given by the formula ((A_new - A_old) / A_old) * 100%. Substituting the old and new areas gives ((1.44s^2 - s^2) / s^2) * 100% = 44%.

So, the area of the square increases by 44% when the side length is increased by 20%.