Question

Quadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side OP. Round your answer to the nearest tenth if necessary.
J
K
L
M
N
O
P
Q
11
23
49
Answer
Attempt 1 out of 2

Answer 1

I need to confirm which given lengths correspond to which sides, but using the standard ordering for similar polygons:

If JKLM ∼ NOPQ, then J ↦ N, K ↦ O, L ↦ P, M ↦ Q. So KL corresponds to OP.

If the given values are JK = 11, NO = 23, and KL = 49, then the scale factor from JK to NO is 23/11, so
OP = (23/11)·KL = (23/11)·49 = 1127/11 ≈ 102.4545…

Rounded to the nearest tenth: OP ≈ 102.5.

If the given numbers refer to different sides, tell me which length goes with which side and I’ll recompute.