SOLUTION: a rectangle has its length increased by a factor of three and its width increased by a factor of two. what is the ratio of the area of the original rectangle to the area of the lar

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Question 443128: a rectangle has its length increased by a factor of three and its width increased by a factor of two. what is the ratio of the area of the original rectangle to the area of the larger rectangle?
1:6, 1:5, 1:3, 2:3... can you please explain the equation of how to work this out?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a rectangle has its length increased by a factor of three and its width increased by a factor of two.
what is the ratio of the area of the original rectangle to the area of the larger rectangle?
:
Let L = original Length
then
3L = increased length
:
Let W = original width
then
2W = increased width
:
LW = original area
then
3L*2W = 6LW increased area
:
Areas, Ratio
%28LW%29%2F%286LW%29
Cancel LW
1%2F6 or 1:6 is the ratio of the areas