Question
A rectangular park is having a grass field of 18cm long and 15 cm wide such that there is a path of 1.5 cm along each of its sides extending outside on each side of the park. The area of the path is 108 cm2.
Answer: Option A
:
A
Area of the path = Area of the outer rectangle - Area of the inner rectangle
The path so formed is effectively adding 1.5m + 1.5m = 3m to the length and breadth of the park, as shown in the figure.
So, area of the path = 21 ×18 - 18 × 15 = 18 × (21 - 15) = 18 × 6 = 108 cm2
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:
A
Area of the path = Area of the outer rectangle - Area of the inner rectangle
The path so formed is effectively adding 1.5m + 1.5m = 3m to the length and breadth of the park, as shown in the figure.
So, area of the path = 21 ×18 - 18 × 15 = 18 × (21 - 15) = 18 × 6 = 108 cm2
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