Patricia is building the community dog park. she plans to build the dog park right beside the city park so she can use one side of the existing fence. her budget allows her yo purchase 340 feet of fencing. in order to make the area of the dog park as large as possible, determine the dimensions of the dog park if one side of the fence is attached to thr city park's fence

85 feet by 170 feet

Step-by-step explanation:

Let the dimension of the dog park be x and y

Since only three sides will be fenced,

Perimeter, x+2y=340

Our goal is to determine the dimension of the park which maximizes the area.

Substituting x=340-2y into A(x,y)

To maximize the area, we find the vertex using the equation of line of symmetry. Note that you can also find the critical points instead.

Equation of symmetry,

a=-2, b=340

Recall that: x=340-2y

x=340-2(85)=340-170=170 feet

Since x=170 feet, y=85 feet

The dimension of the park which maximizes the area are: 85 feet by 170 feet.

Furthermore, the part opposite the existing fence is 170 feet.

50x5=$250

step-by-step explanation:

answer: (yeees, you need a poet.)

//blooming serenity//

beautiful in the morning

mysterious at night

wonderous nature souring

with all it's mystical might

the flower that blooms

to the fox that looms

nocturnal creatures

with various features

a blooming flower soon in sight

as a new little hatchling fears to take flight  

afraid to leave it's calming nest,

but dear little bird, mother knows best

as sure as there are stars in the sky,

life is not about who, where what, when or why-

it's the journey that follows

adventures we swallow

of   nature's deep wonders,

natural disasters and storm's thunders.

blooming serenity

life and nature, truly is heavenly.

-kerstien lehman

step-by-step explanation: