Respuesta :

angelica8185
L = 6W

Area A = LW = 600. So, 6W(W) = 600, W2 = 600/6 = 100, so W = 10. Then L = 600/10 = 60.

Perimeter P = 2L + 2W = 2(60) + 2(10) = 120 + 20 = 140.

The perimeter of the rectangle is 140.

Given that,

  • The area of the rectangle is [tex]600m^2.[/tex]
  • Here the width be x.
  • So, the length be 6x.

Now based on the above information,

We know that

[tex]Area\ of\ the\ rectangle = length \times width\\\\600 = 6x \times x \\\\600 = 6x^2\\\\x^2 = 100[/tex]

x = 10

That means the width be 10m

And, the length be 60m

Now the perimeter of the rectangle should be

[tex]= 2 \times (Length+width)\\\\= 2\times (10 + 60)\\\\= 2 \times 70[/tex]

= 140m

Therefore we can conclude that the perimeter of the rectangle is 140.

Learn more: brainly.com/question/16167300