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+1 vote
11.3k views
in Mathematics by (30.1k points)
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.

1 Answer

+2 votes
by (55.2k points)
selected by
 
Best answer

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 m2 

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 m2 

Hence, area of the path = 810 – 550 = 260 m2.

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