michko20 michko20
  • 13-10-2020
  • Mathematics
contestada

Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?

A.
48.3 cm
B.
54.6 cm
C.
60.0 cm
D.
173.2 cm

Rounded to the nearest tenth what is the perimeter of rectangle ABCD A 483 cm B 546 cm C 600 cm D 1732 cm class=

Respuesta :

Аноним Аноним
  • 13-10-2020
  • Answer:

54.6 cm

  • Step-by-step explanation:

Hi there !

T30° => AD = AC/2 = 20cm/2 = 10 cm

T.Phytagoras

CD = √AC² - AD²

= √20² - 10²

= √400-100

= √300

= 10√3

= 10×1.73

= 17.3 cm

P = 2AD + 2CD

= 2×10cm + 2×17.3cm

= 20cm + 34.6cm

= 54.6 cm

Good luck !

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