A square and a equilateral triangle are to be formed out of the same piece of wire. The wire is 6 inches long. What is the maximum of the total area the square and the triangle?

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Answer 1 · 2015-12-24T00:14:42

Area Square #=s^2#
Area Equilateral Triangle #=sqrt(3)/4xxs^2#

For the square, #s=6/4 = 1.5# inches

Area Square #=1.5^2=2.25# sq. in.

For the triangle, #s=6/3=2# inches

Area triangle #=sqrt(3)/4xx(2)^2=sqrt3~~1.7# sq. in.

So, the square has the greater area .

Hope that helped