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Question
A path of uniform width, 3 m, runs around the outside of a square field of side 21 m. Find the area of the path.
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Solution
According to the given information the figure will be as shown alongside.
Clearly, the length of the square field excluding path = 21 m.
Area of the square side excluding the path = 21 x 21 = 441 m2
Again, length of the square field including the path = 21 + 3 + 3 = 27 m
Area of the square field including the path = 27 x 27 = 729 m2
Area of the path = 729 – 441 = 288 m2
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