Question
Download Solution PDFआयताकृती खोलीत फरशी लावण्याचा खर्च 65 रुपये प्रति चौरस मीटर या दराने 9100 रुपये आहे. खोलीची लांबी आणि रुंदी यांचे गुणोत्तर 7 ∶ 5 आहे. खोलीची परिमिती (मीटरमध्ये) किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
आयताकृती खोलीला फरशी लावण्याचा खर्च = 65 रुपये प्रति चौरस मीटर साठी 9100 रुपये
आयताच्या लांबी आणि रुंदी यांचे गुणोत्तर = 7 : 5
वापरलेले सूत्र:
आयताकृती खोलीचे क्षेत्रफळ = एकूण खर्च/खर्च प्रति चौरस मीटर
आयताचे क्षेत्रफळ = लांबी × रुंदी
आयताची परिमिती = 2(l + b)
गणना:
समजा आयताची लांबी आणि रुंदी अनुक्रमे 7x आणि 5x आहे.
प्रश्नानुसार
आयताकृती खोलीचे क्षेत्रफळ = एकूण खर्च/खर्च प्रति चौरस मीटर
⇒ (9100/65) चौरस मीटर
⇒ 140 चौरस मीटर
आयताचे क्षेत्रफळ = (7x × 5x)
⇒ 35x2 = 140
⇒ x2 = (140/35)
⇒ x2 = 4
⇒ x = 2
आयताची परिमिती = 2(l + b)
⇒ 2(7 × 2 + 5 × 2)
⇒ 2(14 + 10)
⇒ 2 × 24
⇒ 48 मीटर
∴ खोलीची परिमिती 48 मीटर आहे.
Last updated on Jul 12, 2025
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