SOLUTION: A wire 20 feet long is to be cut into two pieces. one piece will be shaped as asquare and other piece will be shaped as an equaletaral triangle. express the total area A enclosed b

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Question 194621: A wire 20 feet long is to be cut into two pieces. one piece will be shaped as asquare and other piece will be shaped as an equaletaral triangle. express the total area A enclosed by the piece of wire as a function of the length x of a side of the equalateral triangle. what is the domain of A? for what value of x will the total area A be the smallest?
please help me solve!!!! please i have on exam tomorrow I raelly dont get how to solve help........ it is urgent!!!!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

This one is done in the same manner as Question #194617. Go to

http://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.194617.html

The only difference is the total area function setup. Let x represent the length of the side of the equilateral triangle (because that's what it says to do). Then the perimeter of the triangle must be: 3x and the perimeter of the square has to be 20 - 3x.

The area of an equilateral triangle of side x is and the area of the square is . And, of course, the total area is the sum of the two.

You should be able to take it from here.



John