Answer:
The length of the dog park is 74 feet.
Step-by-step explanation:
Given that,
Length of park = (8x+2)..(I)
Width of park = (2x-12)...(II)
Perimeter = 160 feet
We need to calculate the value of x
Using formula of perimeter of rectangular park
[tex]P=2(l+w)[/tex]
Where, l = length
w = width
Put the value into the formula
[tex]160=2(8x+2+2x-12)[/tex]
[tex]160=20x-20[/tex]
[tex]x=\dfrac{160+20}{20}[/tex]
[tex]x=9[/tex]
We need to calculate the length of the dog park
Using equation (I)
[tex]l=8x+2[/tex]
Put the value of x
[tex]l=8\times9+2[/tex]
[tex]l=74\ feet[/tex]
Hence, The length of the dog park is 74 feet.
