Question
Download Solution PDFABDC is a trapezium with AB||CD. P and Q are midpoints of AC and BD respectively. If AB = 3 cm and CD = 5 cm, Find the ratio of the area of ABQP to the area of PQDC.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB||CD, AB = 3 cm and CD = 5 cm
P and Q are midpoints of AC and BD ⇒ AP : PC = 1 : 1
Formula used:
Area of trapezium = 1/2 × sum of lengths of parallel sides × height,
Where, height = distance between parallel sides
Calculation:
PQ = ½ [AB + CD]
⇒ ½ [3 + 5] = 4 cm
⇒ AP : PC = 1 : 1
⇒ height of trapezium ABQP = height of trapezium PQDC = h (assume)
⇒ area of ABQP : area of PQDC
⇒ [1/2 × (3 + 4) × h] : [1/2 × (4 + 5) × h]
⇒ 7 : 9
∴ The ratio is 7 : 9.
Last updated on Jun 13, 2025
-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.
-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.
-> 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.
-> Candidates should also use the SSC CGL previous year papers for a good revision.