prepre1233 prepre1233
  • 11-08-2020
  • Mathematics
contestada

Find the perimeter of rectangle whose length is 40 and the diagonal is 41 cm
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Respuesta :

unicorn3125
unicorn3125 unicorn3125
  • 11-08-2020

Answer:

             P = 98 cm

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

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