Mathematics
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.
Area Trapezium Polygon
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Answer
Given:
The length of the rectangular field is 30 m.
The breadth of the rectangular field is 27 m.
The width of the path is 2.5 m.
Area of the path = Area of bigger rectangular field - Area of smaller rectangular field
The length of the smaller rectangular field = 30 m - 2.5 m - 2.5 m
= 25 m
The breadth of the smaller rectangular field = 27 m - 2.5 m - 2.5 m
= 22 m
As we know, the area of a rectangle = length x breadth
⇒ Area of the bigger rectangular field = 30 x 27 m2
= 810 m2
⇒ Area of the smaller square = 25 x 22 m2
= 550 m2
So, the area of the path = 810 - 550 m2
= 260 m2
Hence, the area of the path is 260 m2.
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