A regular chicken pen is 4 times as long as it is wide. If the area of the pen needs to be 144 square feet, hot much fencing is needed to enclose the garden (perimeter)? (The long side of the rectangle is 4w and the short side is w). Step by step!

60

Step-by-step explanation:

Length=4w

Width=w

Area=length×width

144= 4w × w

4w²=144( Divide both sides by 4)

w²=36

w²-36=0 (Factorise the Quadratic Equation)

(w+6)(w-6)=0

(w+6)=0 or (w-6)=0

w= -6 or w=6

Since length can't be a negative value,

w=6

4w=6×4=24

Perimeter= 6+6+24+24=60

it’s the first one your welcome

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.