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Class 10MathematicsQuadratic EquationsWord Problems and ApplicationsMediumLevel 40
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A field is (25) metres long and (15) metres wide. A uniform path is outside around it. The total area is (589). What is the path width?

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Answer and explanation

Correct answer: (3)

Let the path width be (x), then ((25+2x)(15+2x)=589). Substituting (x=3) gives (31\times21=651), so this option is not valid.

Related tags

Quadratic-EquationsWord-ProblemsOuter-Path

Frequently asked questions

What is the correct answer to this question?

(3)

Why is this the correct answer?

Let the path width be (x), then ((25+2x)(15+2x)=589). Substituting (x=3) gives (31\times21=651), so this option is not valid.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Word Problems and Applications.

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