A uniform path 3 metres wide surrounds a rectangular garden. The garden is 34 metres long and 22 metres wide. What is the total area including the path?
Answer and explanation
Correct answer: 1,120 square metres
Since the path surrounds the garden, its width is added twice to both the length and the breadth. The outer length is \(34+2(3)=40\) m and the outer breadth is \(22+2(3)=28\) m. Therefore, the total area is \(40\times28=1120\) square metres, so option C is correct. Option B results from an incorrect calculation of the outer dimensions or their product. Exam tip: for a path around all four sides, add twice the path width to each dimension.
Frequently asked questions
What is the correct answer to this question?
1,120 square metres
Why is this the correct answer?
Since the path surrounds the garden, its width is added twice to both the length and the breadth. The outer length is \(34+2(3)=40\) m and the outer breadth is \(22+2(3)=28\) m. Therefore, the total area is \(40\times28=1120\) square metres, so option C is correct. Option B results from an incorrect calculation of the outer dimensions or their product. Exam tip: for a path around all four sides, add twice the path width to each dimension.
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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