SOLUTION: the sides of the quadrilateral are 2 x - 1, x + 3, 3x + 1, and x - 1. double the length of each side. then find an expression for the perimeter of the new figure

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: the sides of the quadrilateral are 2 x - 1, x + 3, 3x + 1, and x - 1. double the length of each side. then find an expression for the perimeter of the new figure      Log On

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Question 984849: the sides of the quadrilateral are 2 x - 1, x + 3, 3x + 1, and x - 1. double the length of each side. then find an expression for the perimeter of the new figure
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the sides of the quadrilateral are 2x-1,+x+%2B+3, 3x+%2B+1, and x+-1
double the length of each side:
2%282x-1%29,+2%28x+%2B+3%29, 2%283x+%2B+1%29, and 2%28x+-1%29
4x-2,+2x+%2B6, 6x+%2B+2, and 2x+-2
then find an expression for the perimeter of the new figure:
the perimeter is equal to the sum of all sides; so, we have
%284x-2%29%2B%282x+%2B6%29%2B%286x+%2B+2%29%2B%282x+-2%29
4x-2%2B2x+%2B6%2B6x+%2B+2%2B2x+-2
4x%2B2x+%2B2x%2B6x+%2B6%2Bcross%28+2%29-cross%282%29+-2
14x+%2B6+-2
14x+%2B4