Question
Download Solution PDF3 किमी/तास वेगाने चालणारा एक व्यक्ती 5 मिनिटात एक चौरस मैदान कर्णरेषेवरून पार करतो. तर त्या मैदानाचे क्षेत्रफळ (मी2 मध्ये) किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले आहे:
व्यक्ती 3 किमी/तास वेगाने चालतो
चौरस मैदान कर्णरेषेवरून पार करायला त्याला 5 मिनिटे लागतात.
वापरलेली संकल्पना :
जर A ही चौरसाच्या प्रत्येक बाजूच्या मोजमापाची बाजू असेल, तर A2 हे क्षेत्रफळ असेल आणि A√2 हे त्याच्या कर्णाचे माप असेल.
उकल:
व्यक्ती 5 मिनिटात प्रवास करतो = 3 × (5/60) = 1/4 किलोमीटर= 250 मीटर
तर, चौरस मैदानाच्या कर्णाची लांबी = 250 मीटर
समजा, चौरस मैदानाच्या प्रत्येक बाजूचे माप L आहे .
प्रश्नानुसार,
L√2 = 250
⇒ L = 125√2
⇒ L2 = 31250
∴ चौरस मैदानाचे क्षेत्रफळ 31250मी2 आहे.
Last updated on Jul 8, 2025
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