Question
Download Solution PDFसमभुज चौकोनाचा एक कर्ण दुसऱ्याच्या 65% असतो. बाजू म्हणून लांब कर्ण वापरून चौरस काढला जातो. समभुज चौकोनाच्या क्षेत्रफळाचे चौरसाचे गुणोत्तर किती असेल?
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Detailed Solution
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समभुज चौकोनाचा एक कर्ण दुसऱ्याच्या ६५% असतो.
बाजू म्हणून लांब कर्ण वापरून चौरस काढला जातो.
वापरलेली संकल्पना:
समभुज चौकोनाचे क्षेत्रफळ = ½(कर्ण उत्पादन)
चौरसाचे क्षेत्रफळ = बाजू x बाजू
गणना:
समभुज चौकोनाचे कर्ण (मोठे) 100 सेमी असू द्या
कर्ण (लहान) कर्ण 65 सेमी (मोठ्या कर्णाच्या 65%) असू द्या
समभुज चौकोनाचे क्षेत्रफळ = ½(100 x 65) = 3250
चौरसाची बाजू = 100 सेमी (मोठ्या कर्णाच्या समान)
चौरसाचे क्षेत्रफळ = (100 x 100) = 10000
प्रमाण,
⇒ समभुज चौकोन : चौरस = 3250 : 10000
⇒ १३ : ४०
∴ योग्य निवड पर्याय 3 आहे.
Last updated on Jul 5, 2025
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