Mathematics
In the adjoining figure, find the area of the path (shown shaded) which is 2 m wide all around.
Answer
Given:
Length of the outer rectangle = 100 m
Breadth of the outer rectangle = 60 m
Width of the path = 2 m
Area of the outer rectangle = length × breadth
= 100 × 60 sq. m
= 6000 sq. m
Length of the inner rectangle = 100 - (2 + 2) = 96 m
Breadth of the inner rectangle = 60 - (2 + 2) = 56 m
Area of the inner rectangle = 96 × 56 sq. m
= 5376 sq. m
Area of the path = Area of outer rectangle - Area of inner rectangle
= 6000 - 5376
= 624 sq. m
Hence, the area of the path is 624 sq. m.
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