SOLUTION: A gardener has 46 feet of fencing to be used to enclose a rectangular garden that has a border of 2 feet wide surrounding it. A)if the length of the garden is to be twice its wi

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Question 975854: A gardener has 46 feet of fencing to be used to enclose a rectangular garden that has a border of 2 feet wide surrounding it.
A)if the length of the garden is to be twice its width, what will be the dimensions of the garden?
B)what is the area of the garden?
C)if the length and width of the garden are to be the same what would be the dimensions of the garden?
D)what would be the area of the square garden?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The description means that the fencing will go around the garden but not include the two foot surrounding border region. This surrounding border is therefore not important to the amount of fence to be placed.

x and y, the garden dimensions.

(A), x=2y using x for the length;
system%28A=xy%2C2x%2B2y=46%29
system%28A=2y%5E2%2Cx%2By=23%29
2y%2By=23
3y=23
highlight%28y=23%2F3%29
-
x=2y
x=2%2823%2F3%29
highlight%28x=46%2F3%29

(B)
A=xy
A=%2846%2F3%29%2823%2F3%29
highlight%28A=1058%2F9%29 or highlight%28117%265%2F9%29

C and D,
Do the necessary adjustments.