contestada

Janice is building a fence around a portion of her rectangular yard. The length of yard she will enclose is x, and the width is 2x^2-98x+5, where the measurements are in feet. If the length of the enclosed yard is 50 feet and the cost of fencing is $13 per foot, how much will Janice need to spend on fencing?

Respuesta :

We are given

length of rectangular yard is x

so, [tex]L=x[/tex]

width of rectangular yard is

so, [tex]W=2x^2-98x+5[/tex]

We are given

the length of the enclosed yard is 50 feet

so, we get

[tex]L=x=50[/tex]

now, we can plug x=50 and then we can find width

[tex]W=2(50)^2-98(50)+5[/tex]

[tex]W=105[/tex]

now, we can find total fencing length

so, total fencing length is

[tex]=2L+2W[/tex]

now, we can plug values

[tex]=2\times 50+2\times 105[/tex]

[tex]=310feet[/tex]

now, we are given

the cost of fencing is $13 per foot

so,

total cost = (cost of fencing)*(total fencing length)

we can plug values

[tex]C=13\times 310[/tex]

[tex]C=4030[/tex]

So, Janice will spend $4030.........Answer

Otras preguntas