ABCD इस प्रकार से एक समद्विबाहु समलंब चतुर्भुज है कि AD||BC, AB = 5 सेमी, AD = 8 सेमी और BC = 14 सेमी हैं। तो समलंब चतुर्भुज का क्षेत्रफल (सेमी2 में) क्या है?

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SSC CGL Previous Paper 13 (Held On: 11 August 2017 Shift 1)
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  1. 36
  2. 44
  3. 88
  4. 144

Answer (Detailed Solution Below)

Option 2 : 44
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11-8 S1 Ajay Kotwal final Hindi Reviewed images Q17

उपरोक्त जानकारी से त्रिभुज AOB में पायथागोरस प्रमेय का प्रयोग करने पर,

⇒ AB2 = BO2 + OA2

⇒ 52 = 32 + OA2

⇒ OA = 4 सेमी जो समलंब चतुर्भुज की ऊँचाई के बराबर है।

⇒ क्षेत्रफल = ½ × (ऊँचाई) × (समांतर भुजाओं का योग)

⇒ क्षेत्रफल = ½ × 4 × (8 + 14) = 44

∴ क्षेत्रफल 44 सेमी2 है।

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