SOLUTION: Please help me solve this question: You are given two pieces of wire, each 20 cm long. One piece is to be bent to form the biggest possible rectangle and the other piece to form a

Question 881304: Please help me solve this question:
You are given two pieces of wire, each 20 cm long. One piece is to be bent to form the biggest possible rectangle and the other piece to form a golden rectangle.Determine the length and width of each rectangle.Use two methods in each case.
Note:Golden rectangle have length y cm and width x cm,where y > x,is such that y/x = (x+y)/y = golden ratio that is 1.618
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
Please help me solve this question:
You are given two pieces of wire, each 20 cm long. One piece is to be bent to form the biggest possible rectangle and the other piece to form a golden rectangle.Determine the length and width of each rectangle.Use two methods in each case.
Note:Golden rectangle have length y cm and width x cm,where y > x,is such that y/x = (x+y)/y = golden ratio that is 1.618
let length is Y and width is X
as per given first condition
perimeter is 20 for both case
p =2(l+b)
20= 2(Y +X)
10= Y +x if we have pair as 1,9 area is 9 2,8 area 16 3,7 area 21 4,6 area is 24 5,5 area is 25 ( but it will be square ) therefor
maximum area will be 24 cm^2
so we can say biggest possible rectangle is 6,4
for golden ratio Y>x and Y +X/Y =1.6
therefor for second pair will be (1,9) (2,8( (3,7)(4,6) only
by which we are getting golden ratio Y+X/Y= 10/6 =1.66
so golden ratio shows the side should be 6 and 4 only which shows golden ratio as length =6 cm and width =4 cm
Answer
biggest rectangle will be l=6 cm and width =4 cm
golden rectangle will be also 6 and 4 only
RELATED QUESTIONS
Hello, may you please help me on the problem below? A piece of wire 100cm long is to... (answered by mananth,MathTherapy)

Please help me answer this question. A wire 36 m long is cut into two pieces. Each... (answered by stanbon)

Hi my name is Liz and I would like to know if you can help me solve this problem: a piece (answered by robertb)

A wire that is 32 cm long is cut into two pieces, and each piece is bent to form a... (answered by richwmiller)

The question in the book reads "A piece of wire 20 inches long is to be cut into two... (answered by scott8148,TP)

A piece of wire 100 cm long is to be cut into two pieces, each to be bent to make a... (answered by lwsshak3)

a 32inch piece of wire is to be divided into 2 pieces. one piece is going to be bent to... (answered by solver91311)

A piece of wire of length 1meter is cut into two parts and each part is bent to form a... (answered by mananth)

You have a wire that is 53 cm long. You wish to cut it into two pieces. One piece will be (answered by ankor@dixie-net.com)