SOLUTION: A garden plot is to contain 200 sq. ft. If its length is to be twice its width, what should be its dimension?

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Question 212917: A garden plot is to contain 200 sq. ft. If its length is to be twice its width, what should be its dimension?
Found 2 solutions by josmiceli, ankor@dixie-net.com:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let L= length in ft
Let W= width in ft
given:
L%2AW+=+200
L+=+2W
By substitution:
2W%2AW+=+200
W%5E2+=+100
W+=+10
And, since L+=+2W
L++=+2%2A10
L+=+20
The width is 10 ft
The length is 20 ft

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A garden plot is to contain 200 sq. ft.
If its length is to be twice its width, what should be its dimension?
:
let x = the width
then
2x = the length
:
The area
2x * x = 200
2x^2 = 200
divide both sides by 2,results:
x^2 = 100
x = sqrt%28100%29
x = 10 ft is the width
2(10) = 20 ft is the length
:
:
check: 20 * 10 = 200