समांतरभुज चौकोनामध्ये ABCD, AL आणि CM अनुक्रमे CD आणि AD ला लंब आहेत. AL = 20 सेमी, CD = 18 सेमी आणि CM = 15 सेमी. समांतरभुज चौकोनाची परिमिती किती आहे?

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  1. 64 सेमी
  2. 76 सेमी
  3. 80 सेमी
  4. 84 सेमी

Answer (Detailed Solution Below)

Option 4 : 84 सेमी
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दिलेल्याप्रमाणे:

समांतरभुज चौकोनात ABCD, AL आणि CM अनुक्रमे CD आणि AD वर लंब आहेत.

AL = 20 सेमी, CD = 18 सेमी आणि CM = 15 सेमी

वापरलेले सूत्र:

समांतरभुज चौकोनाचे क्षेत्रफळ = पाया × उंची

समांतरभुज चौकोनाची परिमिती = 2 × (समांतर बाजूंची बेरीज)

गणना:

F1 Ravi Ravi 17.11.21 D3

पाया DC = AL × DC = 20 × 18 सह ABCD चे क्षेत्रफळ

⇒ 360 सेमी2

पुन्हा, पाया AD = CM × AD = 18 × AD सह ABCD चे क्षेत्रफळ

⇒ 360 सेमी2 = 15 × AD

⇒ AD = 24 सेमी

∴ AD = BC = 24 सेमी, DC = AB = 18 सेमी

ABCD ची परिमिती = 2 × (24 + 18)

⇒ 2 × 42

⇒ 84 सेमी

∴ आवश्यक परिणाम = 84 सेमी

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