Question

Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side PQ. Figures are not drawn to scale.
L
M
N
O
P
Q
R
S
30
45
5.4
Answer
Attempt 1 out of 2

Answer 1

Since LMNO ~ PQRS, corresponding vertices give LM ↔ PQ, MN ↔ QR, NO ↔ RS, etc. So
PQ/LM = RS/NO.

Plug in RS = 5.4, NO = 45, LM = 30:
PQ = (5.4/45)·30 = 0.12·30 = 3.6.

Answer: PQ = 3.6.