एक मैदान 150 m लंबा और 80 m चौड़ा है। इसकी परिधि इसके विकर्ण की लंबाई से कितनी गुना (दशमलव स्थान तक पूर्णांकित) है?

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. 2.3
  2. 2.5
  3. 2.7
  4. 3.1

Answer (Detailed Solution Below)

Option 3 : 2.7
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Detailed Solution

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दिया गया​ है:

मैदान की लम्बाई = 150 m

मैदान की चौड़ाई = 80 m

प्रयुक्त सूत्र:

आयत का परिमाप = 2 × (L + B)

आयत का विकर्ण = √(L2 + B2)

जहां, L = लंबाई; B = चौड़ाई

गणना:

आयत का विकर्ण × (X) = आयत का परिमाप

⇒ √{(150)2 + (80)2} × (X) =   2 × (150 + 80)

⇒ √{(22500 + 6400} × (X) =  2 × 230

⇒ √28900 X =  460

⇒ X = 460/170 = 2.7

सही उत्तर 2.7 है।

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