Question
Download Solution PDFचौरस आणि आयताचे क्षेत्रफळ समान आहे. आयताची लांबी चौरसाच्या बाजूच्या लांबीपेक्षा 4 सेमीने आणि रुंदी 3 सेमीने कमी आहे. आयताची परिमिती काढा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFजसे आपण आकृतीत पाहत आहोत,
चला, चौरसाची बाजू = a सेमी.
∴ आयताची लांबी = (a + 4) सेमी.
आयताची रुंदी = (a – 3) सेमी.
प्रश्नानुसार,
⇒ a2 = (a + 4) (a – 3)
⇒ a2 = a2 + 4a – 3a – 12
⇒ a = 12
आयताची लांबी = 12 + 4 = 16 सेमी.
आयताची रुंदी = 12 - 3 = 9 सेमी.
∴ आयताचा परिमिती = 2 × (16 + 9) = 50 सेमी.
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