Question
Download Solution PDFएका आयताची लांबी त्याच्या रुंदीच्या तिप्पट आहे. जर त्याची लांबी 7 सेमीने कमी केली आणि रुंदी 7 सेमीने वाढवली आणि त्याचे क्षेत्रफळ 21 सेमी2 ने वाढवले आहे. तर पहिल्या आयताची लांबी आहे:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे
लांबी (L) = 3 × रुंदी (B)
नवीन लांबी = L - 7
नवीन रुंदी = B + 7
क्षेत्रफळ 21 सेमी2 ने वाढले.
संकल्पना:
आयताचे क्षेत्र = लांबी × रुंदी.
गणना:
दिलेल्या वरून, आपल्याकडे दोन समीकरणे आहेत: L = 3B आणि (L - 7)(B + 7) - LB = 21.
⇒ दुसऱ्या समीकरणामध्ये L = 3B असे टाकल्यास आपल्याला (3B - 7)(B + 7) - 3B² = 21 मिळेल.
⇒ हे द्विघात समीकरण सोडवल्यास आपल्याला B = 5 मिळेल.
⇒ म्हणून, L = 3 × 5 = 15 सेमी.
म्हणून, पहिल्या आयताची लांबी 15 सेमी असेल.
Last updated on Jun 6, 2025
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