SOLUTION: I am having a hard time with this one question that I have to do for homework, so someone please help me: I know that the answer is the length and width have to be increased by

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Question 848557: I am having a hard time with this one question that I have to do for homework, so someone please help me:
I know that the answer is the length and width have to be increased by 2 meters, but I am not sure on how to solve this algebraically. Someone please help me and thank you if you can!
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
Joe's rectangular garden is 6 meters long and 4 meters wide. She plans to double the area of the garden by increasing each side by the same amount. Find the number of meters by which each dimension must be increased.
And this is what I have wrote so far:
Area - 24
lxw
6x4=24
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Use * for multiply, not x
x is used for other things.
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L*W = 24 = 4*6
Add x meters to each side
(4+x)*(6+x) = 24*2 = 48

(x - 2)*(x + 12) = 0
x = -12 (Ignore)
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x = 2 meters