SOLUTION: 3) You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden i

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Question 899345: 3) You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden if you use all of the fencing.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Length L, width w.
and .

w+L=240
w=240-L
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substitute into the inequality.





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Reuse w+L=240.
.
Substitute again, into inequality:







*--------------------------------------------------------------*
The acceptable interval on L is ;
and acceptable interval on w is .
An equation to relate w and L may be , along with the stated restrictions on L and w.
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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

3) You have 480 feet of fencing to enclose a rectangular garden. You want the length of the garden to be 30 feet greater than the width. Find the length and width of the garden if you use all of the fencing.

Let width of garden be W
Then length = W + 30
2W + 2(W + 30) = perimeter
2(W) + 2(W + 30) = 480
2(W) + 2(W + 30) = 2(240)
W + W + 30 = 240
2W = 240 - 30
2W = 210
W, or width = , or feet
Length = 105 + 30, or feet
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