In parallelogram LMNO, LM = 4.12, MN = 4, LN = 5, and OM = 6.4. Diagonals and intersect at point R. What is the length of OR?

A.2

B.2.06

C.2.5

D.3.2

E.12.8

Verified Answer :

Pretty much, if its a parallelogram, and they intersect at point R, you take the length of OM (6.4) and divide it in half to get the answer D) 3.2

Answer: D. 3.2


Step-by-step explanation:

Given : In parallelogram LMNO,

LM = 4.12, MN = 4, LN = 5, and OM = 6.4.

Diagonals and intersect at point R.

We know that diagonals of a parallelogram bisect each other.

Since R is the intersection point of both diagonals.

⇒R is the mid point of OM.

Thus OR=\(\frac{OM}{2}\)

\(=\frac{6.4}{2}=3.2\)

Therefore, OR=3.2