Question

question 5 of 10
if lmno is a rectangle, and mo = 54, what is the length

a. 34
b. 22
c. 18
d. 108
e. 27
f. cannot be determined

Explanation:

Step1: Recall rectangle property

In a rectangle, the diagonals are equal and bisect each other. So if $MO$ is a diagonal of rectangle $LMNO$ and the diagonals $MO$ and $LN$ intersect at $P$, then $MP = PO=\frac{1}{2}MO$.

Step2: Calculate the length

Given $MO = 54$, then $MP=PO=\frac{54}{2}=27$.

Answer:

E. 27