In the diagram, |XR| = 4cm
|RZ| = 12cm, |SR| = n, |XZ| = m and SR||YZ. Find m in terms of n
Attached Figure / Diagram
A
m = 2n
B
m = 3n
C
m = 4n
D
m = 5n
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{n}{4} = \frac{m}{4 + 12}\)
\(\frac{n}{4} = \frac{m}{16}\)
4m = 16n
\(\frac{4m}{4} = \frac{16n}{4}\)
m = 4n
Source: Myschool Past Questions Archive (Record #36304)