Wednesday, November 30, 2011

You have 200 feet of fencing left over from a previous project and wish to construct a rectangular enclosure?

with it. You want to enclose a total are of 1730 square feet with the fencing. Find the desired length and width of your new enclosure.





Help please!|||Let a = one side of the enclosure


Let b = other side.





ab = 1730


a = 1730/b





2a + 2b = 200


2(1730/b) + 2b = 200


2(1730) + 2b^2 = 200b


b^2 - 100b + 1730 = 0


b = 50 +- sqrt(770)





sides are: 50 + sqrt(770) and 50 - sqrt(770)|||Making pictures always helps|||let length(l) be x feet and breadth(b) be y feet


equations are,


2(x+y)=200---------(1)


xy=1730-----------(2)


now solve x and y

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