A uniform path 2 metres wide runs around the outside of a rectangular garden. The garden is 20 metres long and 14 metres wide. What is the total outer area, including the path?
Answer and explanation
Correct answer: 432 square metres
Since the path surrounds all four sides, its width is added twice to both dimensions. Outer length = 20 + 2 + 2 = 24 m and outer width = 14 + 2 + 2 = 18 m. Therefore, total outer area = 24 × 18 = 432 square metres. Values such as 384 or 408 result from failing to add the path width correctly in one or both directions. Exam tip: For a path around all four sides, add twice the path width to each original dimension.
Frequently asked questions
What is the correct answer to this question?
432 square metres
Why is this the correct answer?
Since the path surrounds all four sides, its width is added twice to both dimensions. Outer length = 20 + 2 + 2 = 24 m and outer width = 14 + 2 + 2 = 18 m. Therefore, total outer area = 24 × 18 = 432 square metres. Values such as 384 or 408 result from failing to add the path width correctly in one or both directions. Exam tip: For a path around all four 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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