Question

if lmno is a rectangle, and mo = 36, what is the length of $overline{np}$? a. 22 b. 18 c. 36 d. 72 e. 10 f. cannot be determined

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal and bisect each other. So $MO = LN$ and $NP=\frac{1}{2}LN$.

Step2: Substitute the value of $MO$

Since $MO = 36$ and $LN=MO$, then $LN = 36$. And $NP=\frac{1}{2}\times36$.

Answer:

B. 18