Question 262689: Each side of a rectangle is increased by 100% .By what percentage does the area increase? Found 3 solutions by mananth, ikleyn, josgarithmetic:Answer by mananth(16949) (Show Source):
You can put this solution on YOUR website! Each side of a rectangle is increased by 100% .By what percentage does the area increase?
Let length be x & and width be y
Area = xy
Increase in 100% means the length doubles
2x * 2y
4xy
4xy/xy * 100 = 400%
mananth@hotmail.com
You can put this solution on YOUR website! .
Each side of a rectangle is increased by 100% .By what percentage does the area increase?
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The answer in the post by @mananth is incorrect.
This problem is very simple, but due to this reason,
it is extremely important to give a correct and straightforward answer,
which is DIFFERENT from the answer by @mananth.
New sides of the rectangle are 2x and 2y linear units.
New area of the rectangle is (2x)*(2y) = 4xy square units,
or 4 times the area of the original rectangle.
The percentage of increase the area is = = = 3 = 300%.
ANSWER. The percentage of the area increase is 300%.
Solved and presented straightforward from the beginning to the end,
without making any zigzags in the solution and/or in the explanation.
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