SOLUTION: If each of the dimensions of a rectangle is increased 100%, the area is increased

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Question 167242: If each of the dimensions of a rectangle is increased 100%, the area is increased
Found 3 solutions by josmiceli, Alan3354, jojo14344:
Answer by josmiceli(9654) About Me  (Show Source):
You can put this solution on YOUR website!
A 100% increase means it is doubled
If the sides of the rectangle are x
and y, the area, A is
(1) A%5B1%5D+=+xy
Doubling each side gives me
A%5B2%5D+=+2x%2A2y
(2) A%5B2%5D+=+4xy
Comparing (1) and (2),
A%5B2%5D+=+4A%5B1%5D
If the dimensions of a rectagle are increased 100%,
The area is increased 400%

Answer by Alan3354(30976) About Me  (Show Source):
You can put this solution on YOUR website!
If each of the dimensions of a rectangle is increased 100%, the area is increased
-------------
Area = L*W
New area = 2L*2W = 4LW = times the original

Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
Area=L%2AW
original: L=2unit, W=1unit
A=2%2A1=2sq.units
If increased by 100%
New: L=4units, W=2units
A%5Bnew%5D=4%2A2=8sq.units ---> increased by 4 times
.
Another sample:
original: L=4units; W=2units
A=4%2A2=8sq.units
If increased 100%
New: L=8units; W=4units
A%5Bnew%5D=8%2A4=32sq.units ----> increased by 4 times
.
Another sample:
original: L=10units; W=5units
A=10%2A5=50sq.units
If increased 100%
New: L=20units;W=10units
A%5Bnew%5D=20%2A10=200sq.units ---> increased by 4 times
.
Therefore, if that's the case when dimensions are increased 100%, then the New Area will be increased highlight%284times%29 as you see.
Thank you,
Jojo