A uniform border of width (x) metres surrounds a square field. The side of the square inside the border is 60 metres, while the outer side of the field is 92 metres. What is the width (x) of the border?
Answer and explanation
Correct answer: 16 m
The border occupies width (x) on both opposite sides, so the inner side is (92-2x) metres. Thus, (92-2x=60) , giving (2x=32) and (x=16) metres. Hence, option C is correct. Exam tip: for a border around a square, the difference between the outer and inner sides is (2x) , not (x) ; therefore, 32 m is the total reduction, not the border width.
Frequently asked questions
What is the correct answer to this question?
16 m
Why is this the correct answer?
The border occupies width (x) on both opposite sides, so the inner side is (92-2x) metres. Thus, (92-2x=60) , giving (2x=32) and (x=16) metres. Hence, option C is correct. Exam tip: for a border around a square, the difference between the outer and inner sides is (2x) , not (x) ; therefore, 32 m is the total reduction, not the border width.
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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