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A 60 by 80-foot rectangular walk in a park surrounds a flower bed. If the walk is of uniform width and its area is equal to the area of the flower bed, how wide is the walk?

Respuesta :

tramserran

Answer: 17.14 ft

Step-by-step explanation:

The area of the flower bed is 60 ft x 80 ft = 4800 ft²

The perimeter of the sidewalk that surrounds the flower bed is:

  •   2(60 ft) + 2(80 ft)
  • = 120 ft + 160 ft
  • = 280 ft

The area of the sidewalk is:

  • perimeter x width
  • = 280w

area of sidewalk = area of flower bed

280w = 4800

[tex]\text{w}=\dfrac{4800}{280}[/tex]

  [tex]=\dfrac{120}{7}[/tex]

  ≈ 17.14


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