SOLUTION: Stan has a garden in the shape of a rectangle shown below, where X represents the width of the garden and 3x + 2 represents the lenght of the garden. If it takes 4X +72 feet of
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Question 1012136: Stan has a garden in the shape of a rectangle shown below, where X represents the width of the garden and 3x + 2 represents the lenght of the garden. If it takes 4X +72 feet of fencing to enclosed the garden, what is the length of the garden?
Found 2 solutions by macston, Boreal:
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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P=2(L+W)
4X+72ft=2((3X+2)+X)
4X+72ft=2(4X+2)
4X+72=8X+4
68ft=4X
17ft=X
The width is 17ft
.
L=3X+2
L=3(17ft)+2
L=51ft+2=53ft
ANSWER: The length of the garden is 53 feet.
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CHECK:
4X+72ft=2((3X+2)+X)
4(17ft)+72ft=2((3(17ft)+2ft)+17ft)
68ft+72ft=2(53ft+17ft)
140ft=2(70ft)
140ft=140ft
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Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The perimeter is twice x + (3x+2)=2*(4x+2)
=8x+4
8x+4=4x+72
4x=68
x=17 feet
3x+2, the length, is 53 feet.
check
The perimeter is 70*2=140 feet=4(17)+72
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