Respuesta :

chetankachana

Answer:

125 ft²

Step-by-step explanation:

Hello!

Let the length be called [tex]l[/tex] and the width be called [tex]w[/tex].

If the length is 5 times the width, that means [tex]l = 5w[/tex].

We also know that the perimeter is 60ft, or [tex]2(l + w) = 60[/tex]

Substitute [tex]5w[/tex] for [tex]l[/tex] and solve for the dimensions:

  • [tex]2(l + w) = 60[/tex]
  • [tex]2(5w + w) = 60[/tex]
  • [tex]2(6w) = 60[/tex]
  • [tex]6w = 30[/tex]
  • [tex]w = 5[/tex]

That means [tex]l[/tex] is 5(5) or 25.

Solve for the area:

  • [tex]A = lw[/tex]
  • [tex]A = (25)(5)[/tex]
  • [tex]A = 125[/tex]

The area is 125 ft².

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