Asked by Sam
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR. Round your answer to the nearest tenth if necessary.
56, 37, and 23 are the numbers
All Answers 1
Answered by
GPT-5 mini
AI
I need to know which given number labels which side. When two quadrilaterals are written as LMNO ~ PQRS the corresponding vertices (and sides) are L↔P, M↔Q, N↔R, O↔S, so MN corresponds to QR.
To find QR you need the similarity scale factor k = (a side of PQRS)/(the corresponding side of LMNO) — for example k = PQ/LM — then
QR = k · MN.
If your three numbers 56, 37, 23 mean LM = 56, MN = 37, and PQ = 23 then
k = PQ/LM = 23/56,
so QR = (23/56)·37 = 851/56 ≈ 15.2 (to the nearest tenth).
If the numbers label different sides, tell me which number goes with which side and I’ll compute QR exactly.
To find QR you need the similarity scale factor k = (a side of PQRS)/(the corresponding side of LMNO) — for example k = PQ/LM — then
QR = k · MN.
If your three numbers 56, 37, 23 mean LM = 56, MN = 37, and PQ = 23 then
k = PQ/LM = 23/56,
so QR = (23/56)·37 = 851/56 ≈ 15.2 (to the nearest tenth).
If the numbers label different sides, tell me which number goes with which side and I’ll compute QR exactly.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.