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path problem MCQ Questions for Class 10

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Question 1/1 Medium Mathematics Quadratic Equations 5. Word Problems and Applications Class 10 Level 42

(30,मी) लंबी और (20,मी) चौड़ी आयताकार घास वाली जगह के अंदर चारों ओर समान चौड़ाई का रास्ता है। बचा हुआ घास क्षेत्र \(416,मी^2\) है। रास्ते की चौड़ाई क्या है?

Inside a rectangular grassy plot of length (30,m) and breadth (20,m), a uniform path runs along all sides. The remaining grass area is (416,m\(^2). What is the width of the path\)?

Explanation opens after your attempt
Correct Answer

A. (2,मी)(2,m)

Step 1

Concept

If the width is (x), then ((30-2x)(20-2x)=416). The practical root is (x=2).

Step 2

Why this answer is correct

The correct answer is A. (2,मी) / (2,m\(). If the width is (x), then ((30-2x)(20-2x)=416). The practical root is (x=2).\)

Step 3

Exam Tip

यदि चौड़ाई (x) है तो ((30-2x)(20-2x)=416)। व्यावहारिक मूल (x=2) है।

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