A uniform path 5 m wide is built outside a rectangular garden on all four sides. The garden is 60 m long and 42 m wide. What is the total area of the outer rectangle, including the path?
Answer and explanation
Correct answer: square metres
Since the path surrounds the garden on all four sides, 5 + 5 = 10 m must be added to both dimensions. Thus, the outer length is 60 + 10 = 70 m and the outer width is 42 + 10 = 52 m. The total area is \(70 \times 52 = 3640\) square metres, so option C is correct. Exam tip: for a path around all sides, add twice the path width to each original dimension.
Frequently asked questions
What is the correct answer to this question?
square metres
Why is this the correct answer?
Since the path surrounds the garden on all four sides, 5 + 5 = 10 m must be added to both dimensions. Thus, the outer length is 60 + 10 = 70 m and the outer width is 42 + 10 = 52 m. The total area is \(70 \times 52 = 3640\) square metres, so option C is correct. Exam tip: for a path around all sides, add twice the path width to each original 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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