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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.
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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