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if the side of a square increases by 10%, in what percentage increases your area? help!!!!!

 Dec 9, 2015

Best Answer 

 #1
avatar
+10

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%

 Dec 9, 2015
 #1
avatar
+10
Best Answer

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%

Guest Dec 9, 2015
 #2
avatar+1006 
+12

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.

 Dec 9, 2015
edited by GoldenLeaf  Dec 9, 2015

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