Question

ABCD is a parallelogram. Determine the length of BE.

A) 96 units


B) 51 units


C) –11 units


D) 102 units

Answer 1

D) 102 units

Explanation:

Since diagonals of parallelogram bisect each other.

So,

BE = ED

Substitute given value:

3 - 9x = -8x + 14

Add 9x on both sides:

3 - 9x + 9x = -8x + 14 + 9x

Simplify:

3 = x + 14

Subtract 14 on both sides;

3 - 14 = x + 14 - 14

x = -11

Now,

BE = 3 - 9x = 3 - 9 × -11 = 3 + 99 = 102 units

Therefore, answer is D) 102 units