A square field has a side of 28 m, and a uniform border is left all around it. The square inside the border has a side of 20 m. What is the width \(x\) of the border?
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Answer and explanation
Correct answer: 4 m
The border reduces the outer side by \(x\) on both opposite sides, so the inner side is \(28-2x\). Thus, \(28-2x=20\), giving \(2x=8\) and \(x=4\) m. Therefore, option B is correct. Exam tip: for a uniform border around a square, subtract twice the border width from the outer side.
Frequently asked questions
What is the correct answer to this question?
4 m
Why is this the correct answer?
The border reduces the outer side by \(x\) on both opposite sides, so the inner side is \(28-2x\). Thus, \(28-2x=20\), giving \(2x=8\) and \(x=4\) m. Therefore, option B is correct. Exam tip: for a uniform border around a square, subtract twice the border width from the outer side.
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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