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

Algebra ->  Formulas -> 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      Log On


   



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) About Me  (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 4x%2B1=7x-5. You correctly found that x=2. 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) About Me  (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) About Me  (Show Source):
You can put this solution on YOUR website!

In the figure,
AB+=+4x+%2B+1,
BC+=+3x+%2B+6,
CD+=+7x+%E2%88%92+5
Find the length of each side of ▱ABCD.
in parallelogram opposite sides are equal im length, so
AB+=CD
BC+=AD
then
4x%2B1=7x-5
5%2B1=7x-4x
3x=6
x=2
substitute in given sides
AB+=+4x+%2B+1=4%2A2%2B1=9
BC+=+3%2A2+%2B+6=12
then
CD+=+9
+AD=12