Sum

A path of uniform width, 2.5 m, runs around the inside of a rectangular field 30 m by 27 m. Find the area of the path.

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#### Solution

According to the given statement, the figure will be as shown alongside.

Clearly, the length of the rectangular field including the path = 30 m.

Breadth = 27 m.

Its Area = 30 x 27 = 810 m^{2}

Width of the path = 2.5 m

Length of the rectangular field including the path = 30 – 2.5 – 2.5 = 25 m.

Breadth = 27 – 2.5 – 2.5 = 22m

Area of the rectangular field including the path = 25 x 22 = 550 m^{2}

Hence, area of the path = 810 – 550 = 260 m^{2}.

Concept: Perimeter of a Rectangle

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