Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats. Which equation gives an area A as a function of the width w of the enclosure? A(w)=180−w2

A(w)=360−w2

A(w)=180w−w2

A(w)=360w−2w2

A(w) = 180w-w²

Step-by-step explanation:

Farmer Brown has 360 feet of fencing to use to construct a rectangular enclosure for his prized goats.

It means that the perimeter of the rectangle is 360 feet

The formula for the perimeter of a rectangular shape is given by :

P = 2(l+w)

l is length and w is width

ATQ,

2(l+w) = 360

(l+w) =180

l = 180 -w (1)

The formula for the area of a rectangle is given by :

A = lw

Put the value of l form equation (1).

A = (180-w)w

A(w) = 180w-w²

Hence, the correct option is (c).

$649.60

step-by-step explanation: