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A 3 M Wide Path Runs Outside and Around a Rectangular Park of Length 125 M and Breadth 65 M. Find the Area of the Path.

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Question

A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.

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Solution

Length (l) of park = 125 m

Breadth (b) of park = 65 m

Area of park = l × b = 125 × 65 = 8125 m2

From the figure, it can be observed that the new length and breadth of the park, when path is also included, are 131 m and 71 m respectively.

Area of the park including the path = 131 × 71 = 9301 m2

Area of path = Area of the park including the path − Area of park

= 9301 − 8125 = 1176 m2

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