Subject
Bank Exam
Topic
বাংলাদেশ ব্যাংক (সহকারী পরিচালক) - ২০.১০.২০২৩
A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.
A square park is surrounded by a path of uniform width 2 meters all around it. The area of the path is 288 sq. meters. Find the perimeter of the park.
ক)
34 mখ)
1156 mগ)
136 mঘ)
Cannot be determinedExplanation
Let,one side of the park is x meter. So, one side of the park with path = x + (2 + 2) = x + 4 We know, Area of the park = x 2 Area of the path, (x + 4) 2 - x 2 = 288 ⇒ x 2 + 8x + 16 - x 2 = 288 ⇒ 8x + 16 = 288 ⇒ 8x = 288 - 16 ⇒ 8x = 272 ⇒ x = 272/8 ∴ x = 34 One side of the square = 34 m. So, perimeter of the square =4 × 34 = 136 mRelated questions
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