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
Algebra.Com
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) (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 ^2)
. And, of course, the total area is the sum of the two.
You should be able to take it from here.
John
RELATED QUESTIONS
A wire 20 feet long is to be cut into two pieces. one pierce will be shaped as a square... (answered by josmiceli)
A wire 74 cm long is to be cut into two pieces. One piece will be shaped as a square, and (answered by josgarithmetic)
The question in the book reads "A piece of wire 20 inches long is to be cut into two... (answered by scott8148,TP)
The price and the quantity x sold of a certain product obey the demand question.... (answered by stanbon)
A piece of wire is 90 cm long. It has to be cut into two piece such that one piece is 2/3 (answered by josgarithmetic)
A piece of rope 36 feet long is to be cut into two piecies so that one piece is 1/3 as... (answered by mananth,MathTherapy)
a piece of wire 10 m long, is to be cut into two pieces, one of them two-thirds as long... (answered by jim_thompson5910)
a piece of wire 10 m long is to be cut into two pieces one of them is 2/3 as long as the... (answered by checkley77)
A 93 foot rope is to be cut into two pieces. One piece must be half as long as the other. (answered by jim_thompson5910)