SOLUTION: A wire is first bent into the shape of a rectangle with width 9 in and length 12 in . Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal

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Question 1206312: A wire is first bent into the shape of a rectangle with width 9 in and length 12 in
. Then the wire is unbent and reshaped into a triangle. If each side of the triangle has equal length, what is this length?
Found 3 solutions by MathLover1, josgarithmetic, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

if a wire is first bent into the shape of a rectangle with width and length , then the perimeter is


if the wire is unbent and reshaped into a triangle, then a triangle will have as rectangle
if each side of the triangle has equal length of , then




this length of each side of triangle is


Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The wire length same as perimeter of that given rectangle.





Upon changing into triangle with the three sides all same length, x being length of each side
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

One line solution

    the side length =  = 2*3 + 2*4 = 6 + 8 = 14 inches.    ANSWER

Solved.



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