समांतरभुज चौकोनाचा पाया त्याच्या उंचीच्या दुप्पट आहे. क्षेत्रफळ 392 चौ.मी असल्यास, त्याची उंची किती आहे?

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RRB ALP CBT I 29 Aug 2018 Shift 2 Official Paper
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  1. 12 मीटर
  2. 24 मीटर
  3. 14 मीटर
  4. 28 मीटर

Answer (Detailed Solution Below)

Option 3 : 14 मीटर
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दिलेले आहे:

समांतरभुज चौकोनाचा पाया त्याच्या उंचीच्या दुप्पट आहे.

क्षेत्रफळ = 392 चौ.मी

वापरलेली संकल्पना:

क्षेत्रफळ = b × h

जेथे "b" हा पाया आहे आणि "h" समांतरभुज चौकोनाची उंची आहे.

गणना:

समांतरभुज चौकोनाची उंची x असू द्या,

म्हणून, त्याचा आधार = 2x

प्रश्नानुसार,

x × 2x = 392

⇒ 2x2 = 392

⇒ x2 = 196

⇒ x = 14 मीटर

म्हणून, उंची = 14 मीटर

∴ उंची 14 मीटर आहे.

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