SOLUTION: Hi tutor! May you please help me on this problem and maybe show the work so i can learn how to do it? A steel rod 90cm long is to be cut into two pieces, each to be bent to mak

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Hi tutor! May you please help me on this problem and maybe show the work so i can learn how to do it? A steel rod 90cm long is to be cut into two pieces, each to be bent to mak      Log On

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Question 773184: Hi tutor! May you please help me on this problem and maybe show the work so i can learn how to do it?
A steel rod 90cm long is to be cut into two pieces, each to be bent to make a equilateral triangle. The length of a side of one triangle is to be twice the length of a side of the other. How should the rod be cut?
Thank You!!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = a side of the smaller triangle
+2s+ = a side of the larger triangle
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+3s+ = the sum of the 3 sides of the smaller triangle
+3%2A%28+2s+%29+=+6s+ = the sum of the 3 sides of the larger triangle
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+3s+%2B+6s+=+90+
+9s+=+90+
+s+=+10+
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+3s+ = the sum of the 3 sides of the smaller triangle
+3s+=+3%2A10+
+3s+=+30+
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+3%2A%28+2s+%29+=+6s+ = the sum of the 3 sides of the larger triangle
+6s+=+6%2A10+
+6s+=+60+
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The rod should be cut into a 30 cm piece
and a 60 cm piece