A rectangle WXYZ is 60 m long and 40 m wide. A path is constructed towards the inner side of the rectangle that is 2.5 wide. The area of the path is?
- 490 m^2
- 485 m^2
- 475 m^2
- None of these
Explanation
To find the area of the path, we need to find the area of the larger rectangle and subtract the area of the smaller rectangle.
Area of larger rectangle = Length × Width
= 60 × 40
= 2400 m²
Length of inner rectangle = 60 - 2 × 2.5 = 55 m
Width of inner rectangle = 40 - 2 × 2.5 = 35 m
Area of inner rectangle = 55 × 35
= 1925 m²
Area of path = Area of larger rectangle - Area of inner rectangle
= 2400 - 1925
= 475 m²
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