A specific park is rectangular-shaped and has a 3 mile-perimeter. The length is 4 times the width. What are the dimensions of the park?​

Respuesta :

Answer:

The length of the rectangular park is [tex]1.2\ mi[/tex] and the width of the rectangular park is [tex]0.3\ mi[/tex]

Step-by-step explanation:

Let

x ----> the length of the rectangular park

y ---> the width of the rectangular park

we know that

The perimeter is equal to

[tex]P=2(x+y)[/tex]

[tex]P=3\ mi[/tex]

so

[tex]3=2(x+y)[/tex] -----> equation A

[tex]x=4y[/tex] ----> equation B

substitute equation B in equation A and solve for y

[tex]3=2(4y+y)[/tex]

[tex]3=10y[/tex]

[tex]y=0.3\ mi[/tex]

Find the value of x

[tex]x=4(0.3)=1.2\ mi[/tex]

therefore

The length of the rectangular park is [tex]1.2\ mi[/tex] and the width of the rectangular park is [tex]0.3\ mi[/tex]

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