kierramhowell4587 kierramhowell4587
  • 15-04-2020
  • Mathematics
contestada

the area of a rectangular fountain is x^2+9x+20 square feet. a 5 foot walkway is built around the fountain. find the dimesions of the outside border of the walkway

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xero099
xero099 xero099
  • 20-04-2020

Answer:

[tex]w = 1.75\,ft[/tex] and [tex]h = 0.75\,ft[/tex]

Step-by-step explanation:

The dimensions of the rectangular fountain are derived by some algebraic handling:

[tex]A = (x+5)\cdot (x+4)[/tex]

The length of the walkway is:

[tex]2\cdot \left[(x+5) + (x + 4)] = 5\,ft[/tex]

[tex]2\cdot x + 9 = 2.5[/tex]

[tex]x = -3.25[/tex]

The dimensions of the walkway are:

[tex]w = 1.75\,ft[/tex] and [tex]h = 0.75\,ft[/tex].

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