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If the solution region is formed by \(x\geq 2\), \(y\geq 1\), and \(2x+3y\leq 18\), what is its area?यदि हल-क्षेत्र \(x\geq 2\), \(y\geq 1\), \(2x+3y\leq 18\) से बनता है, तो उसका क्षेत्रफल कितना है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (15) square units(15) वर्ग इकाई
The vertices are ((2,1)), \(\left(\frac{15}{2},1\right)\), and \((2,\frac{14}{3})\). Check parallel distances carefully before using triangle area.शीर्ष ((2,1)), \(\left(\frac{15}{2},1\right)\), \((2,\frac{14}{3})\) हैं। आधार \(\frac{11}{2}\) और ऊंचाई \(\frac{11}{3}\) से क्षेत्रफल \(\frac{121}{12}\) नहीं बल्कि सही गणना के लिए अक्षों के समांतर दूरी जांचें।
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