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  • 21-08-2020
  • Mathematics
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The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

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mathstudent55
mathstudent55 mathstudent55
  • 21-08-2020

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

[tex] s = \sqrt{24200} [/tex]

[tex] s = \sqrt{242 \times 100} [/tex]

[tex] s = \sqrt{100 \times 121 \times 2} [/tex]

[tex] s = 10 \times 11\sqrt{2} [/tex]

[tex] s = 110\sqrt{2} [/tex]

P = 4s

[tex] P = 4 \times 100 \sqrt{2} [/tex]

[tex] P = 440 \sqrt{2} [/tex]

The perimeter is irrational.

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