A garden is (32) metres long and (22) metres wide. A uniform path is inside around it. The remaining area is (504). What is the path width?

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Answer and explanation

Correct answer: (2)

Let the path width be (x), then ((32-2x)(22-2x)=504). Substituting (x=2) gives (28\times18=504), so the width is (2).

What is the correct answer to this question?

(2)

Why is this the correct answer?

Let the path width be (x), then ((32-2x)(22-2x)=504). Substituting (x=2) gives (28\times18=504), so the width is (2).

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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