SOLUTION: A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length a

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length a      Log On


   

Question 1012808: A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer wishes to enclose a rectangular region with 210 m of fencing in such a way that the length is twice the width and the region is divided into two equal parts. What length and width should be used.
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Sketch the picture making the length = 2*width
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Let the width = x meters
Then the length = 2x meters
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Break the length into 2 equal sections (each section will be an x by x square
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base has 2 pieces:: x and x
top has 2 pieces:: x and x
there are 3 pieces connecting base to top:: x and x and x
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Equation:
2x + 2x + 3x = 210
7x = 210
x = 30 meters (width)
2x = 60 meters (length)
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Cheers,
Stan H.
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