When you increase the length which is 10 of each side of a square b 20% does the area increase by exactly 40% less than 40% or more than 40 explain your reasoning
To determine how much the area of a square increases when you increase the length of each side, you can use the formula for the area of a square, which is side length squared.
So, if the original length of each side is 10, the original area would be 10^2 = 100 square units.
When you increase the length by 20%, you would add 20% of 10 to each side, which gives 10 + (0.2*10) = 12 for the new length of each side.
Now, if we calculate the new area, we get 12^2 = 144 square units.
To find the percentage increase in area, we can calculate (new area - old area)/old area * 100.
((144 - 100)/100) * 100 = 44%
Therefore, increasing each side of the square by 20% results in an area increase of 44%, which is more than 40%.