Question

Figure ABCD is a parallelogram.

What are the lengths of line segments AB and BC?

○ AB=4; BC=16
○AB=4; BC=8
○AB=10; BC=20
○AB=10; BC=28​

Answer 1

D

Explanation:

Answer 2

○ AB = 10; BC = 28​

Explanation:

In each parallelogram opposite sides have the same length.

Therefore we have the equations:

2x - 4 = x + 12 and 3y - 2 = y + 6

2x - 4 = x + 12 add 4 to both sides

2x = x + 16 subtract x from both sides

x = 16

3y - 2 = y + 6 add 2 to both sides

3y = y + 8 subtract y from both sides

2y = 8 divide both sides by 2

y = 4

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

BC = x + 12 → BC = 16 + 12 = 28