Question

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!

Answer 1

60

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