Question
Download Solution PDFसमांतर चतुर्भुज ABCD में, AL और CM क्रमशः CD और AD पर लंब हैं। AL = 20 सेमी, CD = 18 सेमी और CM = 15 सेमी है। समांतर चतुर्भुज का परिमाप है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
समांतर चतुर्भुज ABCD में, AL और CM क्रमशः CD और AD पर लंब हैं।
AL = 20 सेमी, CD = 18 सेमी और CM = 15 सेमी
प्रयुक्त सूत्र:
समांतर चतुर्भुज का क्षेत्रफल = आधार × ऊँचाई
समांतर चतुर्भुज का परिमाप = 2 × (समानांतर भुजाओं का योग)
गणना:
आधार DC के साथ ABCD का क्षेत्रफल = AL × DC = 20 × 18
⇒ 360 वर्ग सेमी
पुनः, आधार AD के साथ ABCD का क्षेत्रफल = CM × AD = 15 × AD
⇒ 360 वर्ग सेमी = 15 × AD
⇒ AD = 24 सेमी
∴ AD = BC = 24 सेमी, DC = AB = 18 सेमी
ABCD का परिमाप = 2 × (24 + 18)
⇒ 2 × 42
⇒ 84 सेमी
∴ अभीष्ठ परिणाम = 84 सेमी
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