Question
Download Solution PDFIn the given figure, PQRS is a trapezium in which PM || SN, NR = 9 cm, PS = 12 cm, QM = NR and NR = SN. What is the area (in cm2) of trapezium?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
PS = 12 cm
NR = 9 cm
QM = NR and NR = SN
Formula Used:
Area of Trapezium = (1/2) × (Sum of Parallel Sides) × Height
Calculation:
According to the question,
QM = NR and NR = SN
⇒ QM = NR = SN = 9 cm
Again according to the question,
PM || SN
⇒ PS = MN = 12 cm
In trapezium PQRS,
QR = QM + MN + NR
⇒ QR = 9 + 12 + 9 = 30 cm
Height = SN = 9 cm
Area of Trapezium = (1/2) × (PS + QR) × SN
⇒ Area of Trapezium = (1/2) × (12 + 30) × 9
⇒ Area of Trapezium = (1/2) × (12 + 30) × 9
⇒ Area of Trapezium = 189 cm2
Last updated on Jul 16, 2025
-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025.
-> Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.
-> Candidates can refer to the CGL syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline.
-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.