The diagonal of a square is 60 cm. Calculate its peremeter

  • A 20\(\sqrt{2}\)
  • B 40\(\sqrt{2}\)
  • C 90\(\sqrt{2}\)
  • D 120\(\sqrt{2}\)
waec 2017mathematics

The correct answer is D. 120\(\sqrt{2}\)

\(60^2 + x^2 + x^2\)

\(360^2 = 2x^2\)

\(x^2\) = 1800

x = \(\sqrt{1800}\)

x = 42.4264

x = 42.4264

perimeter = 4x

= 4 x 42.4264

= 169.7056

= 120\(\sqrt{2}\)

= 120\(\sqrt{2}\)

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