यदि हल-क्षेत्र \(x\geq 2\), \(y\geq 1\), \(x+y\leq 8\) से बनता है, तो उसका क्षेत्रफल कितना है?

If the solution region is formed by \(x\geq 2\), \(y\geq 1\), and \(x+y\leq 8\), what is its area?

Explanation opens after your attempt
Correct Answer

C. \(\frac{25}{2}\) वर्ग इकाई\(\frac{25}{2}\) square units

Step 1

Concept

The vertices are ((2,1)), ((7,1)), and ((2,6)). The base and height are (5), so the area is \(\frac{25}{2}\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{25}{2}\) वर्ग इकाई / \(\frac{25}{2}\) square units. The vertices are ((2,1)), ((7,1)), and ((2,6)). The base and height are (5), so the area is \(\frac{25}{2}\).

Step 3

Exam Tip

शीर्ष ((2,1)), ((7,1)), ((2,6)) हैं। आधार और ऊंचाई (5) हैं इसलिए क्षेत्रफल \(\frac{25}{2}\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि हल-क्षेत्र \(x\geq 2\), \(y\geq 1\), \(x+y\leq 8\) से बनता है, तो उसका क्षेत्रफल कितना है? / If the solution region is formed by \(x\geq 2\), \(y\geq 1\), and \(x+y\leq 8\), what is its area?

Correct Answer: C. \(\frac{25}{2}\) वर्ग इकाई / \(\frac{25}{2}\) square units. Explanation: शीर्ष ((2,1)), ((7,1)), ((2,6)) हैं। आधार और ऊंचाई (5) हैं इसलिए क्षेत्रफल \(\frac{25}{2}\) है। / The vertices are ((2,1)), ((7,1)), and ((2,6)). The base and height are (5), so the area is \(\frac{25}{2}\).

Which concept should I revise for this Mathematics MCQ?

The vertices are ((2,1)), ((7,1)), and ((2,6)). The base and height are (5), so the area is \(\frac{25}{2}\).

What exam hint can help solve this Mathematics question?

शीर्ष ((2,1)), ((7,1)), ((2,6)) हैं। आधार और ऊंचाई (5) हैं इसलिए क्षेत्रफल \(\frac{25}{2}\) है।