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How can a figure have the same area and a larger perimeter? - Answers

Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm. Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square. Perimeter of 3x * x/3 = 62/3x cm. Perimeter of 100x * x/100 = 200.02x cm Perimeter of 1000000x * x/1000000 = 2000000.000002x cm. As you can see, it is possible to increase the perimeter without limit.



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How can a figure have the same area and a larger perimeter? - Answers

https://math.answers.com/math-and-arithmetic/How_can_a_figure_have_the_same_area_and_a_larger_perimeter

Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm. Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square. Perimeter of 3x * x/3 = 62/3x cm. Perimeter of 100x * x/100 = 200.02x cm Perimeter of 1000000x * x/1000000 = 2000000.000002x cm. As you can see, it is possible to increase the perimeter without limit.



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https://math.answers.com/math-and-arithmetic/How_can_a_figure_have_the_same_area_and_a_larger_perimeter

How can a figure have the same area and a larger perimeter? - Answers

Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm. Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square. Perimeter of 3x * x/3 = 62/3x cm. Perimeter of 100x * x/100 = 200.02x cm Perimeter of 1000000x * x/1000000 = 2000000.000002x cm. As you can see, it is possible to increase the perimeter without limit.

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      Consider a square with sides of length x cm whose area is x2 cm and perimeter is 4x cm. Next consider a rectangle with sides of 2x cm and x/2 cm. It area is 2x*x/2 = x2, the same as for the square. But its perimeter is 2*(2x+x/2) = 5x > perimeter of the square. Perimeter of 3x * x/3 = 62/3x cm. Perimeter of 100x * x/100 = 200.02x cm Perimeter of 1000000x * x/1000000 = 2000000.000002x cm. As you can see, it is possible to increase the perimeter without limit.

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