SOLUTION: In the figure, AB = 4x + 1, BC = 3x + 6, and CD = 7x − 5.Find the length of each side of ▱ABCD. so far i have gotten the equation, 4x+1=7x-5 and i got x as 2

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Question 1193080: In the figure,
AB = 4x + 1,
BC = 3x + 6,
and CD = 7x − 5.Find the length of each side of ▱ABCD.
so far i have gotten the equation, 4x+1=7x-5 and i got x as 2

Found 3 solutions by josgarithmetic, ikleyn, MathLover1:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
You KNOW that segment AB and segment CD are both parallel and congruent. You FOUND that . You correctly found that . What is the trouble from here? Substitute for x, and evaluate AB, BC, CD, and recognize that DA and BC are congruent.
Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
.

It is correct: at given data, x = 2.

Now move forward and calculate AB and BC, using formulas and substituting x= 2 in the formulas.



Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

In the figure,
,
,

Find the length of each side of ▱.
in parallelogram opposite sides are equal im length, so


then




substitute in given sides


then




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