When you increase the length which is 10 of each side Length times Length by 20% does the area increase by exactly 40% less than 40% or more than 40 explain your reasoning
The area of a square is calculated by the formula: Area = Length x Length.
When you increase the length of each side by 20%, the new length becomes 1.2 times the original length (since 100% + 20% = 120% = 1.2).
So, the new length is 1.2 x 10 = 12 units.
Now, calculate the new area: Area = 12 x 12 = 144 square units.
The difference between the new area and the original area is given by:
Difference = New Area - Original Area = 144 - 100 = 44 square units.
To find the percentage increase, divide the difference by the original area and multiply by 100%:
Percentage Increase = (Difference / Original Area) x 100% = (44/100) x 100% = 44%.
Therefore, when you increase the length of each side of the square by 20%, the area increases by 44%, which is more than 40%.