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A piece of wire of length 10 m is to be cut into two pieces. One piece will be used to make a square and the other to make an equilateral triangle. What are the two lengths of wire required such that the total area enclosed is a minimum? Round all values to TWO decimal places.

Length for triangle = ? [correct answer is 5.65 m]

Length for square = ?[correct answer is 4.35 m]

Thanks. :)

 Aug 29, 2014

Best Answer 

 #2
avatar+128577 
+8

This is similar to the problem I just worked....here's the graph here.....the "x" value is the part reserved for the triangle = about 5.7 m  and the part reserved for the square = (10 - 5.7) = about 4.3 m

https://www.desmos.com/calculator/7lucvqfmfx

 

 Aug 29, 2014
 #2
avatar+128577 
+8
Best Answer

This is similar to the problem I just worked....here's the graph here.....the "x" value is the part reserved for the triangle = about 5.7 m  and the part reserved for the square = (10 - 5.7) = about 4.3 m

https://www.desmos.com/calculator/7lucvqfmfx

 

CPhill Aug 29, 2014

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