Question
Download Solution PDFआयताकृती कार्पेटचे क्षेत्रफळ 120 मीटर 2 आणि परिमिती 46 मीटर असते. त्याच्या कर्णाची लांबी शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
आयताकृती चटईचे क्षेत्रफळ = 120 मी 2
परिमिती = 46 मी
वापरलेले सूत्र:
आयताचे क्षेत्रफळ = l × b
आयताची परिमिती = 2(l + b)
आयताच्या कर्णाची लांबी = d = √(l 2 + b 2 )
कुठे,
l = आयताची लांबी
b = आयताची रुंदी
गणना:
आयताची परिमिती = 2(l + b)
⇒ 2(l + b) = 46
⇒ l + b = 23 ----(i)
आयताचे क्षेत्रफळ = l × b
⇒ l × b = 120
⇒ l = 120/b
l चे मूल्य eq मध्ये टाकणे. (i),
(120/b) + b = 23
⇒ 120 + b 2 = 23b
⇒ b 2 - 23b + 120 = 0
⇒ (b - 8)(b - 15) = 0
⇒ b = 8, 15
b = 8 m विचारात घेतल्यास, l = 23 - 8 = 15 m
कर्णाची लांबी, d = √(l 2 + b 2 )
⇒ d = √(8 2 + 15 2 )
⇒ d = √289
⇒ d = 17 मी
∴ त्याच्या कर्णाची लांबी 17 मीटर आहे.
Last updated on Jun 16, 2025
-> RRB JE CBT 2 answer key 2025 for June 4 exam has been released at the official website.
-> Check Your Marks via RRB JE CBT 2 Rank Calculator 2025
-> RRB JE CBT 2 admit card 2025 has been released.
-> RRB JE CBT 2 city intimation slip 2025 for June 4 exam has been released at the official website.
-> RRB JE CBT 2 Cancelled Shift Exam 2025 will be conducted on June 4, 2025 in offline mode.
-> RRB JE CBT 2 Exam Analysis 2025 is Out, Candidates analysis their exam according to Shift 1 and 2 Questions and Answers.
-> The RRB JE Notification 2024 was released for 7951 vacancies for various posts of Junior Engineer, Depot Material Superintendent, Chemical & Metallurgical Assistant, Chemical Supervisor (Research) and Metallurgical Supervisor (Research).
-> The selection process includes CBT 1, CBT 2, and Document Verification & Medical Test.
-> The candidates who will be selected will get an approximate salary range between Rs. 13,500 to Rs. 38,425.
-> Attempt RRB JE Free Current Affairs Mock Test here
-> Enhance your preparation with the RRB JE Previous Year Papers.