SOLUTION: In the figure, AB = 4x + 1, BC = 3x + 6, and CD = 7x − 5.Find the length of each side of ▱ABCD. AB = BC = CD = DA =

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Question 1192999: In the figure,
AB = 4x + 1,

BC = 3x + 6,
and
CD = 7x − 5.Find the length of each side of ▱ABCD.
AB =
BC =
CD =
DA =

Answer by ikleyn(52785)   (Show Source): You can put this solution on YOUR website!
.

In each parallelogram, the opposed sides are congruent.


The sides AB an CD are opposed; so you write this equation

    4x + 1 = 7x - 5.


Simplify it and find x

    1 + 5 = 7x - 4x

      6   =    3x

      x   =    6/3 = 2.


Now you calculate each side length, using given formulas.

Solved (which means that the way is shown and that you are fully instructed).


================


Comment from student : ok so what would be the correct final answer for the other 2 sides?



My response : In your post, you have formulas expressing the side lengths via x.

Substitute the value x= 2 into these formulas and calculate the length of each side.

Keep in mind that in parallelogram the opposite sides are congruent, i.e. have equal length (the same length).



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