SOLUTION: AB= (4x-6) BC= (3y-8) CD= (2x+8) AD= (2y+4) a) What is the value of x? B) how long is AD? C) if m<D= 55°,then m< is D) what is the perimeter of the paralelogram abcd?

Algebra ->  Parallelograms -> SOLUTION: AB= (4x-6) BC= (3y-8) CD= (2x+8) AD= (2y+4) a) What is the value of x? B) how long is AD? C) if m<D= 55°,then m< is D) what is the perimeter of the paralelogram abcd?      Log On


   

Question 1191561: AB= (4x-6)
BC= (3y-8)
CD= (2x+8)
AD= (2y+4)
a) What is the value of x?
B) how long is AD?
C) if m D) what is the perimeter of the paralelogram abcd?
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

if you have parallelogram ABCD, opposite sides are parallel and equal in length
so, AB=CD+and AD=BC
AB=+%284x-6%29
BC=+%283y-8%29
CD=+%282x%2B8%29
AD=+%282y%2B4%29+

a) What is the value of+x?
AB=CD
4x-6=2x%2B8
4x-2x=6%2B8
2x=14
x=7

B) how long is AD?
AD=+2y%2B4.......need y
AD=BC
2y%2B4=3y-8
8%2B4=3y-2y
y=12
=> AD=+2%2A12%2B4=>AD=28
C) if m D) what is the perimeter of the parallelogram ABCD?
P=2%28AD%2BAB%29
AD=28
need AB
AB=+4x-6..........since x=7
AB=28-6
AB=22
then
P=2%2828%2B22%29
P=100