Question

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?

Answer 1

We are given

length of rectangular yard is x

so, $L=x$

width of rectangular yard is

so, $W=2x^2-98x+5$

We are given

the length of the enclosed yard is 50 feet

so, we get

$L=x=50$

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

$W=2(50)^2-98(50)+5$

$W=105$

now, we can find total fencing length

so, total fencing length is

$=2L+2W$

now, we can plug values

$=2\times 50+2\times 105$

$=310feet$

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

$C=13\times 310$

$C=4030$

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