Question
Download Solution PDFएका आयताचे क्षेत्रफळ 300 सेमी2 आहे आणि त्याच्या कर्णाची लांबी 25 सेमी आहे. आयताची परिमिती (सेमीमध्ये) काढा:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
आयताचे क्षेत्रफळ = 300 सेमी2
कर्ण = 25 सेमी
वापरलेले सूत्र:
आयताचे क्षेत्रफळ = लांबी × रुंदी
आयताची परिमिती = 2 (लांबी + रुंदी)
कर्ण = √(लांबी2 + रुंदी2)
गणना:
प्रश्नानुसार,
⇒ लांबी × रुंदी = 300
पुन्हा,
कर्ण = √(लांबी2 + रुंदी2)
⇒ √(लांबी2 + रुंदी2) = 25
⇒ (लांबी2 + रुंदी2) = 625
समज, लांबी a आणि रुंदी b आहे.
तर,
⇒ (a + b)2 = a2 + b2 + 2ab
⇒ (a + b)2 = 625 + 2 × 300
⇒ (a + b)2 = 1225
⇒ a + b = 35
आयताची परिमिती = 2(a + b)
⇒ 2 × 35
⇒ 70
∴ आयताची परिमिती 70 आहे.
Last updated on Jun 11, 2025
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