Question

Help!

In parallelogram ABCD, BE=10x-3 and DE=8x-1.
What is BD?
Question options:
7 units

14 units

21 units

Answer 1

14 units

Explanation:

BE = 10x-3

DE = 8x -1

In a parallelogram, diagonals meet each other at their center points:

BE = DE

10x - 3 = 8x -1

2x = 2

x = 1

The length BD = BE + DE = 18x -4 = 18*1 -4 = 14 units