SOLUTION: The length of a rectangle is three times it's width. A new rectangle is created by decreasing the length of the original rectangle by half. By what factor must the original width b

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Question 841232: The length of a rectangle is three times it's width. A new rectangle is created by decreasing the length of the original rectangle by half. By what factor must the original width be multiplied, if the area remains unchanged?
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Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
he length of a rectangle is three times it's width.
L = 3W
A new rectangle is created by decreasing the length of the original rectangle by half.
By what factor must the original width be multiplied, if the area remains unchanged?
Let the factor to accomplish this = x
.5L * xW = L * W
Divide both sides by L
.5xW = W
x = 2 is the factor to accomplish this (double the width)
:
:
See if that works, assume L=30; W=10 originally, A = 300
New rectangle L=15; W=20; A = 300