+9 if the side of a square increases by 10%, in what percentage increases your area? help!!!!!
if the side of a square increases by 10%, in what percentage increases your area? help!!!!!
Let the side of the square=S, then we have,
1.1S=the increase in each side, therefore,
(1.1S)^2=1.21S^2. Therefore the area will increase by:
21%
+1006 Consider it like this:
You have a square, and all sides are 10 units long. The area, therefore, would be 10*10 = 100 square units.
You take the sides of the square and increase them by 10% (or 110% of the original). Take 10% of 10 (=1) and then add it back into the original. You now have a square with all sides 11 units long. This square now has an area of 11*11 = 121 square units.
At this point, you can see that the square increases from the original 21 units. That is another 21% added on, and that is your final answer: A 21% increase.
