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).

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol