या समलंब बागेचे क्षेत्रफळ किती आहे? (सर्व मोजमाप सेमीमध्ये आहे)NTPC-30-03-2016-Shift-3 solutions - Reviewed images Q6

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NTPC Tier I (Held On: 30 Mar 2016 Shift 3)
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  1. 60 चौ.सेमी
  2. 180 चौ.सेमी
  3. 210 चौ.से.मी
  4. 240 चौ.सेमी

Answer (Detailed Solution Below)

Option 4 : 240 चौ.सेमी
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Detailed Solution

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दिलेल्या आकृतीनुसार,

NTPC-30-03-2016-Shift-3 solutions - Reviewed images Q6a

ΔBEF मधून, आपणास प्राप्त होते 

⇒ BF2 = BE2 + EF2

⇒ 132 = 122 + EF2

⇒ EF2 = 132 – 122 = 169 – 144 = 25

⇒ EF = 5 सेमी

आकृतीवरून,

⇒ CD = EF = 5 सेमी आणि AB = DE = 15 सेमी

⇒ CF = CD + DE + EF = 5 + 15 + 5 = 25 सेमी

समलंबाचे क्षेत्रफळ = ½ × BE × (AB + CF) = ½ × 12 (15 + 25) = 240 चौ.सेमी

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