Which shape among the following has the largest perimeter?

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A square with an area measuring 36 square centimetersAn equilateral triangle with each side equal to 9 centimetersA rectangle with a length of 10 centimeters and an area of 40 square centimetersA circle with a radius of 4 centimeters

Explanation

Let's calculate the perimeter for each shape: Option A: The square's area is 36 cm², so each side is √36 = 6 cm. Perimeter = 4 × 6 = 24 cm. Option B: The equilateral triangle has sides of 9 cm each. Perimeter = 3 × 9 = 27 cm. Option C: The rectangle has a length of 10 cm and area of 40 cm², so breadth = 40 / 10 = 4 cm. Perimeter = 2 × (10 + 4) = 28 cm. Option D: The circle's radius is 4 cm. Circumference = 2 × π × 4 ≈ 25.12 cm. Comparing all, the rectangle has the greatest perimeter of 28 cm.