Question : A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Thus, the outside edges of the path run along the boundary wall of the park. The inside edges of the path are marked with a white line of negligible thickness. If it costs INR 2.50 to mark each metre with the white line, then how much would it cost (in INR) to fully mark the inside edges of the path?
Option 1: 1090
Option 2: 1080
Option 3: 1120
Option 4: 1100
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Correct Answer: 1100
Solution : Given: A rectangular park is 120 m long and 104 m wide. A 1-m wide path runs along the boundary of the park, remaining completely inside the park area. Length of the park without the path = (120 – 1 – 1) = 118 m Width of the park without the path = (104 – 1 – 1) = 102 m So, the inside perimeter of the path = 2(118 + 102) = 440 m It costs INR 2.50 to mark each metre with the white line. Thus, the required total cost = (440 × 2.50) = INR 1100 Hence, the correct answer is 1100.
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