Respuesta :

ronhagrid310

Answer:

x: length

y: wide

x = 3y and x*y =192

=> 3y^2 = 192

=> y = 8 => x =3x8 = 24

=> Perimeter = (x+y)*2 = (8+24)*2 = 64

ItzMikeSS

Answer: [tex]64cm[/tex]

Step-by-step explanation:

[tex]length=3w\\width=w\\area=192cm^2\\perimeter=?[/tex]

First, using the area formula, find length and width;

[tex]A=l*w[/tex]

[tex]192=3w*w[/tex]

[tex]192=3w^2[/tex]

Divide by 3.

[tex]\frac{192}{3}=w^2[/tex]

[tex]64=w^2[/tex]

Extract the square root.

[tex]\sqrt{64}=w\\ 8=w[/tex]

Now that you found the width; find length.

if length is three times width; multiply the width by 3.

8*3=24cm

Now that you have all the information, find the perimeter.

[tex]P=2(l+w)\\P=2(24+8)\\P=2(32)\\P=64cm[/tex]

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