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?
Maths / Geometry MCQs — Multiple-choice practice
- A. None of these
- B. 490 m^2
- C. 475 m^2
- D. 485 m^2
Correct answer
475 m^2
Explanation
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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