Question

Figure ABCD is a parallelogram.

What are the lengths of line segments AB and BC?

a. AB = 4; BC = 8
b. AB = 10; BC = 20
c. AB = 10; BC = 28

Answer 1

3y-2=y+6
-y -y
2y-2=6
+2 +2
2y=8

y=4


2x-4=x+12
-x -x
x-4=12
+4 +4

x=16

BC=(16)+12
BC=28

AB=3(4)-2
AB=12-2
AB=10

Answer 2

3y-2= y+6
2y-2=6
2y=8
y=4

3(4)-2= 10

2x-4= x+12
x-4=12
x=16

(16)+12=28

Final answer: AB=10, BC=28