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

AB = 10; BC = 28.

Explanation:

It is given ABCD is a parallelogram. In a parallelogram opposite sides are equal.

AB=DC and AD=BC.

Substituting the given values in terms of x ad y we have:

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

Solving for x and y ,

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

2y=8 and x=16.

y=4 and x=16.

AB=3y-2 and BC=x+12

AB=3(4)-2 and BC= 16+12=28.

AB=10.

The correct answer is AB = 10; BC = 28.