Question
Download Solution PDF34 सेमी कर्ण असणाऱ्या एका आयताकृती शेताची लांबी त्याच्या रुंदीपेक्षा 14 सेमी जास्त आहे, त्या शेताची परिमिती शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
एका आयताकृती शेताची लांबी त्याच्या रुंदीपेक्षा 14 सेमी जास्त आहे
त्याच्या कर्णाची लांबी = 34 सेमी
संकल्पना:
महत्त्वमापन
सूत्र वापरले:
आयताची परिमिती = 2(l + b)
गणना:
त्या शेताची लांबी आणि रुंदी अनुक्रमे 'x + 14' आणि 'x' मानू
कर्ण = 34 =
⇒ 1156 = x2 + 196 + 28x + x2
⇒ x2 + 14x – 480 = 0
⇒ x2 + 30x - 16x - 480 = 0
⇒ x(x + 30) - 16(x + 30) = 0
⇒ (x + 30) (x - 16) = 0
⇒ x = 16
तर,
शेताची परिमिती = 2 [(x + 14) + x]
= 2 × 46
= 92 सेमी
∴ शेताची परिमिती 92 सेमी आहे.
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